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Simplifying 5(x + 15) = 2(x + 12) Reorder the terms: 5(15 + x) = 2(x + 12) (15 * 5 + x * 5) = 2(x + 12) (75 + 5x) = 2(x + 12) Reorder the terms: 75 + 5x = 2(12 + x) 75 + 5x = (12 * 2 + x * 2) 75 + 5x = (24 + 2x) Solving 75 + 5x = 24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 75 + 5x + -2x = 24 + 2x + -2x Combine like terms: 5x + -2x = 3x 75 + 3x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 75 + 3x = 24 + 0 75 + 3x = 24 Add '-75' to each side of the equation. 75 + -75 + 3x = 24 + -75 Combine like terms: 75 + -75 = 0 0 + 3x = 24 + -75 3x = 24 + -75 Combine like terms: 24 + -75 = -51 3x = -51 Divide each side by '3'. x = -17 Simplifying x = -17
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