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Simplifying -2x + -1(x + -2) = 5x + 3(x + 1) Reorder the terms: -2x + -1(-2 + x) = 5x + 3(x + 1) -2x + (-2 * -1 + x * -1) = 5x + 3(x + 1) -2x + (2 + -1x) = 5x + 3(x + 1) Reorder the terms: 2 + -2x + -1x = 5x + 3(x + 1) Combine like terms: -2x + -1x = -3x 2 + -3x = 5x + 3(x + 1) Reorder the terms: 2 + -3x = 5x + 3(1 + x) 2 + -3x = 5x + (1 * 3 + x * 3) 2 + -3x = 5x + (3 + 3x) Reorder the terms: 2 + -3x = 3 + 5x + 3x Combine like terms: 5x + 3x = 8x 2 + -3x = 3 + 8x Solving 2 + -3x = 3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + -3x + -8x = 3 + 8x + -8x Combine like terms: -3x + -8x = -11x 2 + -11x = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -11x = 3 + 0 2 + -11x = 3 Add '-2' to each side of the equation. 2 + -2 + -11x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -11x = 3 + -2 -11x = 3 + -2 Combine like terms: 3 + -2 = 1 -11x = 1 Divide each side by '-11'. x = -0.09090909091 Simplifying x = -0.09090909091
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