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Simplifying 2(-1x + 6) + -1(-1 + -1x) + 3x + -8 = 4(10x + -5) + -14x + 6 + 8 + -2x + 7x Reorder the terms: 2(6 + -1x) + -1(-1 + -1x) + 3x + -8 = 4(10x + -5) + -14x + 6 + 8 + -2x + 7x (6 * 2 + -1x * 2) + -1(-1 + -1x) + 3x + -8 = 4(10x + -5) + -14x + 6 + 8 + -2x + 7x (12 + -2x) + -1(-1 + -1x) + 3x + -8 = 4(10x + -5) + -14x + 6 + 8 + -2x + 7x 12 + -2x + (-1 * -1 + -1x * -1) + 3x + -8 = 4(10x + -5) + -14x + 6 + 8 + -2x + 7x 12 + -2x + (1 + 1x) + 3x + -8 = 4(10x + -5) + -14x + 6 + 8 + -2x + 7x Reorder the terms: 12 + 1 + -8 + -2x + 1x + 3x = 4(10x + -5) + -14x + 6 + 8 + -2x + 7x Combine like terms: 12 + 1 = 13 13 + -8 + -2x + 1x + 3x = 4(10x + -5) + -14x + 6 + 8 + -2x + 7x Combine like terms: 13 + -8 = 5 5 + -2x + 1x + 3x = 4(10x + -5) + -14x + 6 + 8 + -2x + 7x Combine like terms: -2x + 1x = -1x 5 + -1x + 3x = 4(10x + -5) + -14x + 6 + 8 + -2x + 7x Combine like terms: -1x + 3x = 2x 5 + 2x = 4(10x + -5) + -14x + 6 + 8 + -2x + 7x Reorder the terms: 5 + 2x = 4(-5 + 10x) + -14x + 6 + 8 + -2x + 7x 5 + 2x = (-5 * 4 + 10x * 4) + -14x + 6 + 8 + -2x + 7x 5 + 2x = (-20 + 40x) + -14x + 6 + 8 + -2x + 7x Reorder the terms: 5 + 2x = -20 + 6 + 8 + 40x + -14x + -2x + 7x Combine like terms: -20 + 6 = -14 5 + 2x = -14 + 8 + 40x + -14x + -2x + 7x Combine like terms: -14 + 8 = -6 5 + 2x = -6 + 40x + -14x + -2x + 7x Combine like terms: 40x + -14x = 26x 5 + 2x = -6 + 26x + -2x + 7x Combine like terms: 26x + -2x = 24x 5 + 2x = -6 + 24x + 7x Combine like terms: 24x + 7x = 31x 5 + 2x = -6 + 31x Solving 5 + 2x = -6 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. 5 + 2x + -31x = -6 + 31x + -31x Combine like terms: 2x + -31x = -29x 5 + -29x = -6 + 31x + -31x Combine like terms: 31x + -31x = 0 5 + -29x = -6 + 0 5 + -29x = -6 Add '-5' to each side of the equation. 5 + -5 + -29x = -6 + -5 Combine like terms: 5 + -5 = 0 0 + -29x = -6 + -5 -29x = -6 + -5 Combine like terms: -6 + -5 = -11 -29x = -11 Divide each side by '-29'. x = 0.3793103448 Simplifying x = 0.3793103448
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