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Simplifying -2(x + 1) + -1(2 + 3(x + -1)) = 5x + 1 Reorder the terms: -2(1 + x) + -1(2 + 3(x + -1)) = 5x + 1 (1 * -2 + x * -2) + -1(2 + 3(x + -1)) = 5x + 1 (-2 + -2x) + -1(2 + 3(x + -1)) = 5x + 1 Reorder the terms: -2 + -2x + -1(2 + 3(-1 + x)) = 5x + 1 -2 + -2x + -1(2 + (-1 * 3 + x * 3)) = 5x + 1 -2 + -2x + -1(2 + (-3 + 3x)) = 5x + 1 Combine like terms: 2 + -3 = -1 -2 + -2x + -1(-1 + 3x) = 5x + 1 -2 + -2x + (-1 * -1 + 3x * -1) = 5x + 1 -2 + -2x + (1 + -3x) = 5x + 1 Reorder the terms: -2 + 1 + -2x + -3x = 5x + 1 Combine like terms: -2 + 1 = -1 -1 + -2x + -3x = 5x + 1 Combine like terms: -2x + -3x = -5x -1 + -5x = 5x + 1 Reorder the terms: -1 + -5x = 1 + 5x Solving -1 + -5x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + -5x + -5x = 1 + 5x + -5x Combine like terms: -5x + -5x = -10x -1 + -10x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -10x = 1 + 0 -1 + -10x = 1 Add '1' to each side of the equation. -1 + 1 + -10x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -10x = 1 + 1 -10x = 1 + 1 Combine like terms: 1 + 1 = 2 -10x = 2 Divide each side by '-10'. x = -0.2 Simplifying x = -0.2
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