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Simplifying 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 = 7x -2 + 7x = 2(2x + -1) Reorder the terms: -2 + 7x = 2(-1 + 2x) -2 + 7x = (-1 * 2 + 2x * 2) -2 + 7x = (-2 + 4x) Add '2' to each side of the equation. -2 + 2 + 7x = -2 + 2 + 4x Combine like terms: -2 + 2 = 0 0 + 7x = -2 + 2 + 4x 7x = -2 + 2 + 4x Combine like terms: -2 + 2 = 0 7x = 0 + 4x 7x = 4x Solving 7x = 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. 7x + -4x = 4x + -4x Combine like terms: 7x + -4x = 3x 3x = 4x + -4x Combine like terms: 4x + -4x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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