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Simplifying 5x + -6(x + -12) = 5(x + -12) Reorder the terms: 5x + -6(-12 + x) = 5(x + -12) 5x + (-12 * -6 + x * -6) = 5(x + -12) 5x + (72 + -6x) = 5(x + -12) Reorder the terms: 72 + 5x + -6x = 5(x + -12) Combine like terms: 5x + -6x = -1x 72 + -1x = 5(x + -12) Reorder the terms: 72 + -1x = 5(-12 + x) 72 + -1x = (-12 * 5 + x * 5) 72 + -1x = (-60 + 5x) Solving 72 + -1x = -60 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 72 + -1x + -5x = -60 + 5x + -5x Combine like terms: -1x + -5x = -6x 72 + -6x = -60 + 5x + -5x Combine like terms: 5x + -5x = 0 72 + -6x = -60 + 0 72 + -6x = -60 Add '-72' to each side of the equation. 72 + -72 + -6x = -60 + -72 Combine like terms: 72 + -72 = 0 0 + -6x = -60 + -72 -6x = -60 + -72 Combine like terms: -60 + -72 = -132 -6x = -132 Divide each side by '-6'. x = 22 Simplifying x = 22
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