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Simplifying 2(1 + -2x) + -1x = 3(x + -1) + 7 (1 * 2 + -2x * 2) + -1x = 3(x + -1) + 7 (2 + -4x) + -1x = 3(x + -1) + 7 Combine like terms: -4x + -1x = -5x 2 + -5x = 3(x + -1) + 7 Reorder the terms: 2 + -5x = 3(-1 + x) + 7 2 + -5x = (-1 * 3 + x * 3) + 7 2 + -5x = (-3 + 3x) + 7 Reorder the terms: 2 + -5x = -3 + 7 + 3x Combine like terms: -3 + 7 = 4 2 + -5x = 4 + 3x Solving 2 + -5x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + -5x + -3x = 4 + 3x + -3x Combine like terms: -5x + -3x = -8x 2 + -8x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -8x = 4 + 0 2 + -8x = 4 Add '-2' to each side of the equation. 2 + -2 + -8x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = 4 + -2 -8x = 4 + -2 Combine like terms: 4 + -2 = 2 -8x = 2 Divide each side by '-8'. x = -0.25 Simplifying x = -0.25
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