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Simplifying -12(7x + -12) = -8(1 + x) Reorder the terms: -12(-12 + 7x) = -8(1 + x) (-12 * -12 + 7x * -12) = -8(1 + x) (144 + -84x) = -8(1 + x) 144 + -84x = (1 * -8 + x * -8) 144 + -84x = (-8 + -8x) Solving 144 + -84x = -8 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 144 + -84x + 8x = -8 + -8x + 8x Combine like terms: -84x + 8x = -76x 144 + -76x = -8 + -8x + 8x Combine like terms: -8x + 8x = 0 144 + -76x = -8 + 0 144 + -76x = -8 Add '-144' to each side of the equation. 144 + -144 + -76x = -8 + -144 Combine like terms: 144 + -144 = 0 0 + -76x = -8 + -144 -76x = -8 + -144 Combine like terms: -8 + -144 = -152 -76x = -152 Divide each side by '-76'. x = 2 Simplifying x = 2
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