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Simplifying 2(1 + -2x) + -1x = -4x + 8 (1 * 2 + -2x * 2) + -1x = -4x + 8 (2 + -4x) + -1x = -4x + 8 Combine like terms: -4x + -1x = -5x 2 + -5x = -4x + 8 Reorder the terms: 2 + -5x = 8 + -4x Solving 2 + -5x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2 + -5x + 4x = 8 + -4x + 4x Combine like terms: -5x + 4x = -1x 2 + -1x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + -1x = 8 + 0 2 + -1x = 8 Add '-2' to each side of the equation. 2 + -2 + -1x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 8 + -2 -1x = 8 + -2 Combine like terms: 8 + -2 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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