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Simplifying 5x + 2(-1x + 1) = 2(2x + -1) Reorder the terms: 5x + 2(1 + -1x) = 2(2x + -1) 5x + (1 * 2 + -1x * 2) = 2(2x + -1) 5x + (2 + -2x) = 2(2x + -1) Reorder the terms: 2 + 5x + -2x = 2(2x + -1) Combine like terms: 5x + -2x = 3x 2 + 3x = 2(2x + -1) Reorder the terms: 2 + 3x = 2(-1 + 2x) 2 + 3x = (-1 * 2 + 2x * 2) 2 + 3x = (-2 + 4x) Solving 2 + 3x = -2 + 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 + 3x + -4x = -2 + 4x + -4x Combine like terms: 3x + -4x = -1x 2 + -1x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -1x = -2 + 0 2 + -1x = -2 Add '-2' to each side of the equation. 2 + -2 + -1x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = -2 + -2 -1x = -2 + -2 Combine like terms: -2 + -2 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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