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Simplifying 5(x + 12) + 2(-1x + 6) = 15 Reorder the terms: 5(12 + x) + 2(-1x + 6) = 15 (12 * 5 + x * 5) + 2(-1x + 6) = 15 (60 + 5x) + 2(-1x + 6) = 15 Reorder the terms: 60 + 5x + 2(6 + -1x) = 15 60 + 5x + (6 * 2 + -1x * 2) = 15 60 + 5x + (12 + -2x) = 15 Reorder the terms: 60 + 12 + 5x + -2x = 15 Combine like terms: 60 + 12 = 72 72 + 5x + -2x = 15 Combine like terms: 5x + -2x = 3x 72 + 3x = 15 Solving 72 + 3x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 3x = 15 + -72 Combine like terms: 72 + -72 = 0 0 + 3x = 15 + -72 3x = 15 + -72 Combine like terms: 15 + -72 = -57 3x = -57 Divide each side by '3'. x = -19 Simplifying x = -19
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