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Simplifying -7x + -12(x + 8) = -2(9x + 8) Reorder the terms: -7x + -12(8 + x) = -2(9x + 8) -7x + (8 * -12 + x * -12) = -2(9x + 8) -7x + (-96 + -12x) = -2(9x + 8) Reorder the terms: -96 + -7x + -12x = -2(9x + 8) Combine like terms: -7x + -12x = -19x -96 + -19x = -2(9x + 8) Reorder the terms: -96 + -19x = -2(8 + 9x) -96 + -19x = (8 * -2 + 9x * -2) -96 + -19x = (-16 + -18x) Solving -96 + -19x = -16 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -96 + -19x + 18x = -16 + -18x + 18x Combine like terms: -19x + 18x = -1x -96 + -1x = -16 + -18x + 18x Combine like terms: -18x + 18x = 0 -96 + -1x = -16 + 0 -96 + -1x = -16 Add '96' to each side of the equation. -96 + 96 + -1x = -16 + 96 Combine like terms: -96 + 96 = 0 0 + -1x = -16 + 96 -1x = -16 + 96 Combine like terms: -16 + 96 = 80 -1x = 80 Divide each side by '-1'. x = -80 Simplifying x = -80
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