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Simplifying 131 = 15x + 10(x + 3) + 13(x + -1) Reorder the terms: 131 = 15x + 10(3 + x) + 13(x + -1) 131 = 15x + (3 * 10 + x * 10) + 13(x + -1) 131 = 15x + (30 + 10x) + 13(x + -1) Reorder the terms: 131 = 15x + 30 + 10x + 13(-1 + x) 131 = 15x + 30 + 10x + (-1 * 13 + x * 13) 131 = 15x + 30 + 10x + (-13 + 13x) Reorder the terms: 131 = 30 + -13 + 15x + 10x + 13x Combine like terms: 30 + -13 = 17 131 = 17 + 15x + 10x + 13x Combine like terms: 15x + 10x = 25x 131 = 17 + 25x + 13x Combine like terms: 25x + 13x = 38x 131 = 17 + 38x Solving 131 = 17 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. 131 + -38x = 17 + 38x + -38x Combine like terms: 38x + -38x = 0 131 + -38x = 17 + 0 131 + -38x = 17 Add '-131' to each side of the equation. 131 + -131 + -38x = 17 + -131 Combine like terms: 131 + -131 = 0 0 + -38x = 17 + -131 -38x = 17 + -131 Combine like terms: 17 + -131 = -114 -38x = -114 Divide each side by '-38'. x = 3 Simplifying x = 3
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