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d) $2x + 7 - 5x = 3(5 + 6x) - 12x$ ons 7-8)

Question

d) $2x + 7 - 5x = 3(5 + 6x) - 12x$
ons 7-8)

Explanation:

Step1: Simplify like terms left side

$2x - 5x + 7 = -3x + 7$

Step2: Expand and simplify right side

$3(5) + 3(6x) - 12x = 15 + 18x - 12x = 15 + 6x$

Step3: Rearrange terms to isolate $x$

$-3x - 6x = 15 - 7$

Step4: Combine like terms

$-9x = 8$

Step5: Solve for $x$

$x = \frac{8}{-9} = -\frac{8}{9}$

Answer:

$x = -\frac{8}{9}$