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Simplifying 3(5 + -1x) + -2(3 + -4x) = 13 + -2(x + 1) (5 * 3 + -1x * 3) + -2(3 + -4x) = 13 + -2(x + 1) (15 + -3x) + -2(3 + -4x) = 13 + -2(x + 1) 15 + -3x + (3 * -2 + -4x * -2) = 13 + -2(x + 1) 15 + -3x + (-6 + 8x) = 13 + -2(x + 1) Reorder the terms: 15 + -6 + -3x + 8x = 13 + -2(x + 1) Combine like terms: 15 + -6 = 9 9 + -3x + 8x = 13 + -2(x + 1) Combine like terms: -3x + 8x = 5x 9 + 5x = 13 + -2(x + 1) Reorder the terms: 9 + 5x = 13 + -2(1 + x) 9 + 5x = 13 + (1 * -2 + x * -2) 9 + 5x = 13 + (-2 + -2x) Combine like terms: 13 + -2 = 11 9 + 5x = 11 + -2x Solving 9 + 5x = 11 + -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. 9 + 5x + 2x = 11 + -2x + 2x Combine like terms: 5x + 2x = 7x 9 + 7x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + 7x = 11 + 0 9 + 7x = 11 Add '-9' to each side of the equation. 9 + -9 + 7x = 11 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 11 + -9 7x = 11 + -9 Combine like terms: 11 + -9 = 2 7x = 2 Divide each side by '7'. x = 0.2857142857 Simplifying x = 0.2857142857
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