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Simplifying 3(5 + -1x) = 2(x + -1) + -3 (5 * 3 + -1x * 3) = 2(x + -1) + -3 (15 + -3x) = 2(x + -1) + -3 Reorder the terms: 15 + -3x = 2(-1 + x) + -3 15 + -3x = (-1 * 2 + x * 2) + -3 15 + -3x = (-2 + 2x) + -3 Reorder the terms: 15 + -3x = -2 + -3 + 2x Combine like terms: -2 + -3 = -5 15 + -3x = -5 + 2x Solving 15 + -3x = -5 + 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 + -3x + -2x = -5 + 2x + -2x Combine like terms: -3x + -2x = -5x 15 + -5x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -5x = -5 + 0 15 + -5x = -5 Add '-15' to each side of the equation. 15 + -15 + -5x = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = -5 + -15 -5x = -5 + -15 Combine like terms: -5 + -15 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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