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Simplifying -7x + -12(x + 8) = -6(3x + 9) Reorder the terms: -7x + -12(8 + x) = -6(3x + 9) -7x + (8 * -12 + x * -12) = -6(3x + 9) -7x + (-96 + -12x) = -6(3x + 9) Reorder the terms: -96 + -7x + -12x = -6(3x + 9) Combine like terms: -7x + -12x = -19x -96 + -19x = -6(3x + 9) Reorder the terms: -96 + -19x = -6(9 + 3x) -96 + -19x = (9 * -6 + 3x * -6) -96 + -19x = (-54 + -18x) Solving -96 + -19x = -54 + -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 = -54 + -18x + 18x Combine like terms: -19x + 18x = -1x -96 + -1x = -54 + -18x + 18x Combine like terms: -18x + 18x = 0 -96 + -1x = -54 + 0 -96 + -1x = -54 Add '96' to each side of the equation. -96 + 96 + -1x = -54 + 96 Combine like terms: -96 + 96 = 0 0 + -1x = -54 + 96 -1x = -54 + 96 Combine like terms: -54 + 96 = 42 -1x = 42 Divide each side by '-1'. x = -42 Simplifying x = -42
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