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Simplifying 3x + 2(1 + -1x) = 2x + 5(1 + -1x) 3x + (1 * 2 + -1x * 2) = 2x + 5(1 + -1x) 3x + (2 + -2x) = 2x + 5(1 + -1x) Reorder the terms: 2 + 3x + -2x = 2x + 5(1 + -1x) Combine like terms: 3x + -2x = 1x 2 + 1x = 2x + 5(1 + -1x) 2 + 1x = 2x + (1 * 5 + -1x * 5) 2 + 1x = 2x + (5 + -5x) Reorder the terms: 2 + 1x = 5 + 2x + -5x Combine like terms: 2x + -5x = -3x 2 + 1x = 5 + -3x Solving 2 + 1x = 5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + 1x + 3x = 5 + -3x + 3x Combine like terms: 1x + 3x = 4x 2 + 4x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 4x = 5 + 0 2 + 4x = 5 Add '-2' to each side of the equation. 2 + -2 + 4x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 5 + -2 4x = 5 + -2 Combine like terms: 5 + -2 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75
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