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Simplifying -6(x + -12) = 3(x + -14) Reorder the terms: -6(-12 + x) = 3(x + -14) (-12 * -6 + x * -6) = 3(x + -14) (72 + -6x) = 3(x + -14) Reorder the terms: 72 + -6x = 3(-14 + x) 72 + -6x = (-14 * 3 + x * 3) 72 + -6x = (-42 + 3x) Solving 72 + -6x = -42 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 72 + -6x + -3x = -42 + 3x + -3x Combine like terms: -6x + -3x = -9x 72 + -9x = -42 + 3x + -3x Combine like terms: 3x + -3x = 0 72 + -9x = -42 + 0 72 + -9x = -42 Add '-72' to each side of the equation. 72 + -72 + -9x = -42 + -72 Combine like terms: 72 + -72 = 0 0 + -9x = -42 + -72 -9x = -42 + -72 Combine like terms: -42 + -72 = -114 -9x = -114 Divide each side by '-9'. x = 12.66666667 Simplifying x = 12.66666667
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