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Simplifying 5x + 3(1 + -1x) = 2(2x + -1) 5x + (1 * 3 + -1x * 3) = 2(2x + -1) 5x + (3 + -3x) = 2(2x + -1) Reorder the terms: 3 + 5x + -3x = 2(2x + -1) Combine like terms: 5x + -3x = 2x 3 + 2x = 2(2x + -1) Reorder the terms: 3 + 2x = 2(-1 + 2x) 3 + 2x = (-1 * 2 + 2x * 2) 3 + 2x = (-2 + 4x) Solving 3 + 2x = -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. 3 + 2x + -4x = -2 + 4x + -4x Combine like terms: 2x + -4x = -2x 3 + -2x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -2x = -2 + 0 3 + -2x = -2 Add '-3' to each side of the equation. 3 + -3 + -2x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = -2 + -3 -2x = -2 + -3 Combine like terms: -2 + -3 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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