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