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Simplifying 15 + -2(x + 1) + 3(x + -2) = 18 Reorder the terms: 15 + -2(1 + x) + 3(x + -2) = 18 15 + (1 * -2 + x * -2) + 3(x + -2) = 18 15 + (-2 + -2x) + 3(x + -2) = 18 Reorder the terms: 15 + -2 + -2x + 3(-2 + x) = 18 15 + -2 + -2x + (-2 * 3 + x * 3) = 18 15 + -2 + -2x + (-6 + 3x) = 18 Reorder the terms: 15 + -2 + -6 + -2x + 3x = 18 Combine like terms: 15 + -2 = 13 13 + -6 + -2x + 3x = 18 Combine like terms: 13 + -6 = 7 7 + -2x + 3x = 18 Combine like terms: -2x + 3x = 1x 7 + 1x = 18 Solving 7 + 1x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 1x = 18 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 18 + -7 1x = 18 + -7 Combine like terms: 18 + -7 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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