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Simplifying 6(x + -1) = 9(x + -12) Reorder the terms: 6(-1 + x) = 9(x + -12) (-1 * 6 + x * 6) = 9(x + -12) (-6 + 6x) = 9(x + -12) Reorder the terms: -6 + 6x = 9(-12 + x) -6 + 6x = (-12 * 9 + x * 9) -6 + 6x = (-108 + 9x) Solving -6 + 6x = -108 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -6 + 6x + -9x = -108 + 9x + -9x Combine like terms: 6x + -9x = -3x -6 + -3x = -108 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -3x = -108 + 0 -6 + -3x = -108 Add '6' to each side of the equation. -6 + 6 + -3x = -108 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -108 + 6 -3x = -108 + 6 Combine like terms: -108 + 6 = -102 -3x = -102 Divide each side by '-3'. x = 34 Simplifying x = 34
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