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Simplifying -1(2x + -1) + -2(3x + -1) = 4(x + 1) + -2x Reorder the terms: -1(-1 + 2x) + -2(3x + -1) = 4(x + 1) + -2x (-1 * -1 + 2x * -1) + -2(3x + -1) = 4(x + 1) + -2x (1 + -2x) + -2(3x + -1) = 4(x + 1) + -2x Reorder the terms: 1 + -2x + -2(-1 + 3x) = 4(x + 1) + -2x 1 + -2x + (-1 * -2 + 3x * -2) = 4(x + 1) + -2x 1 + -2x + (2 + -6x) = 4(x + 1) + -2x Reorder the terms: 1 + 2 + -2x + -6x = 4(x + 1) + -2x Combine like terms: 1 + 2 = 3 3 + -2x + -6x = 4(x + 1) + -2x Combine like terms: -2x + -6x = -8x 3 + -8x = 4(x + 1) + -2x Reorder the terms: 3 + -8x = 4(1 + x) + -2x 3 + -8x = (1 * 4 + x * 4) + -2x 3 + -8x = (4 + 4x) + -2x Combine like terms: 4x + -2x = 2x 3 + -8x = 4 + 2x Solving 3 + -8x = 4 + 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. 3 + -8x + -2x = 4 + 2x + -2x Combine like terms: -8x + -2x = -10x 3 + -10x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + -10x = 4 + 0 3 + -10x = 4 Add '-3' to each side of the equation. 3 + -3 + -10x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -10x = 4 + -3 -10x = 4 + -3 Combine like terms: 4 + -3 = 1 -10x = 1 Divide each side by '-10'. x = -0.1 Simplifying x = -0.1
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