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rule #3: after we follow rules 1 and 2, then we can how? simplify (pemd…

Question

rule #3: after we follow rules 1 and 2, then we can
how? simplify (pemdas), rearrange, combine like terms
2c+4-2c+6
-2c-20-c+c
10x+-5x-(4+x)
-4x+7x -(-2x)+7
2²+4x-2x+(9+1)
2(x-5)+10x-2x
10+2x-(2+x)
-8-(-4)-2x+-4x
2c+4²-2c+(6*- 4)
-2(c+10)-c+5
2x² - 3x + 7 - 3x + 4x - 7(x+5)

Explanation:

Step1: Combine like terms (c terms)

$2c - 2c + 4 + 6$

Step2: Combine constant terms

$0c + 10$
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Step1: Combine like terms (c terms)

$-2c - c + c - 20$

Step2: Simplify c terms

$-2c - 20$
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Step1: Distribute the negative sign

$10x - 5x - 4 - x$

Step2: Combine like terms (x terms)

$4x - 4$
---

Step1: Simplify double negatives

$-4x + 7x + 2x + 7$

Step2: Combine like terms (x terms)

$5x + 7$
---

Step1: Calculate exponents and parentheses

$4 + 4x - 2x + 10$

Step2: Combine like terms

$2x + 14$
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Step1: Distribute the 2

$2x - 10 + 10x - 2x$

Step2: Combine like terms (x terms)

$10x - 10$
---

Step1: Distribute the negative sign

$10 + 2x - 2 - x$

Step2: Combine like terms

$x + 8$
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Step1: Simplify double negatives and signs

$-8 + 4 - 2x - 4x$

Step2: Combine like terms

$-6x - 4$
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Step1: Calculate exponent and parentheses

$2c + 16 - 2c + 2$

Step2: Combine like terms

$18$
---

Step1: Distribute the -2

$-2c - 20 - c + 5$

Step2: Combine like terms

$-3c - 15$
---

Step1: Distribute the -7

$2x^2 - 3x + 7 - 3x + 4x - 7x - 35$

Step2: Combine like terms (x terms)

$2x^2 - 9x - 28$

Answer:

  1. $10$
  2. $-2c - 20$
  3. $4x - 4$
  4. $5x + 7$
  5. $2x + 14$
  6. $10x - 10$
  7. $x + 8$
  8. $-6x - 4$
  9. $18$
  10. $-3c - 15$
  11. $2x^2 - 9x - 28$