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Simplifying 5(x + -3) = 6(x + 12) Reorder the terms: 5(-3 + x) = 6(x + 12) (-3 * 5 + x * 5) = 6(x + 12) (-15 + 5x) = 6(x + 12) Reorder the terms: -15 + 5x = 6(12 + x) -15 + 5x = (12 * 6 + x * 6) -15 + 5x = (72 + 6x) Solving -15 + 5x = 72 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + 5x + -6x = 72 + 6x + -6x Combine like terms: 5x + -6x = -1x -15 + -1x = 72 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -1x = 72 + 0 -15 + -1x = 72 Add '15' to each side of the equation. -15 + 15 + -1x = 72 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 72 + 15 -1x = 72 + 15 Combine like terms: 72 + 15 = 87 -1x = 87 Divide each side by '-1'. x = -87 Simplifying x = -87
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