Question

7.) $3 + 4(2x - 5)$
8.) $x - (10 + 7x)$
9.) $8x -2(-10 + 4x)$
10.) $7(3a - 2b) + 5b - 3(4a +2)$

Explanation:

Step1: Distribute the 4

$3 + 4(2x) + 4(-5)$
$3 + 8x - 20$

Step2: Combine constant terms

$8x + (3 - 20)$
$8x - 17$

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Step1: Distribute the negative sign

$x - 10 - 7x$

Step2: Combine like terms

$(x - 7x) - 10$
$-6x - 10$

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Step1: Distribute the -2

$8x -2(-10) -2(4x)$
$8x + 20 - 8x$

Step2: Combine like terms

$(8x - 8x) + 20$
$20$

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Step1: Distribute the coefficients

$7(3a) + 7(-2b) + 5b -3(4a) -3(2)$
$21a -14b + 5b -12a -6$

Step2: Combine like terms for $a$

$(21a - 12a) + (-14b + 5b) -6$
$9a -9b -6$

Answer:

7.) $8x - 17$
8.) $-6x - 10$
9.) $20$
10.) $9a - 9b - 6$