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Simplifying 2(5 + -1x) + 3(-1x + 1) = -2x + -2 (5 * 2 + -1x * 2) + 3(-1x + 1) = -2x + -2 (10 + -2x) + 3(-1x + 1) = -2x + -2 Reorder the terms: 10 + -2x + 3(1 + -1x) = -2x + -2 10 + -2x + (1 * 3 + -1x * 3) = -2x + -2 10 + -2x + (3 + -3x) = -2x + -2 Reorder the terms: 10 + 3 + -2x + -3x = -2x + -2 Combine like terms: 10 + 3 = 13 13 + -2x + -3x = -2x + -2 Combine like terms: -2x + -3x = -5x 13 + -5x = -2x + -2 Reorder the terms: 13 + -5x = -2 + -2x Solving 13 + -5x = -2 + -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. 13 + -5x + 2x = -2 + -2x + 2x Combine like terms: -5x + 2x = -3x 13 + -3x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + -3x = -2 + 0 13 + -3x = -2 Add '-13' to each side of the equation. 13 + -13 + -3x = -2 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = -2 + -13 -3x = -2 + -13 Combine like terms: -2 + -13 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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