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Simplifying 15 = 3(x + -2) + -1(x + -5) Reorder the terms: 15 = 3(-2 + x) + -1(x + -5) 15 = (-2 * 3 + x * 3) + -1(x + -5) 15 = (-6 + 3x) + -1(x + -5) Reorder the terms: 15 = -6 + 3x + -1(-5 + x) 15 = -6 + 3x + (-5 * -1 + x * -1) 15 = -6 + 3x + (5 + -1x) Reorder the terms: 15 = -6 + 5 + 3x + -1x Combine like terms: -6 + 5 = -1 15 = -1 + 3x + -1x Combine like terms: 3x + -1x = 2x 15 = -1 + 2x Solving 15 = -1 + 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. 15 + -2x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -2x = -1 + 0 15 + -2x = -1 Add '-15' to each side of the equation. 15 + -15 + -2x = -1 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = -1 + -15 -2x = -1 + -15 Combine like terms: -1 + -15 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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