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Simplifying 5x + 2(1 + -1x) = 3x + 4(1 + -1x) 5x + (1 * 2 + -1x * 2) = 3x + 4(1 + -1x) 5x + (2 + -2x) = 3x + 4(1 + -1x) Reorder the terms: 2 + 5x + -2x = 3x + 4(1 + -1x) Combine like terms: 5x + -2x = 3x 2 + 3x = 3x + 4(1 + -1x) 2 + 3x = 3x + (1 * 4 + -1x * 4) 2 + 3x = 3x + (4 + -4x) Reorder the terms: 2 + 3x = 4 + 3x + -4x Combine like terms: 3x + -4x = -1x 2 + 3x = 4 + -1x Solving 2 + 3x = 4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + 3x + x = 4 + -1x + x Combine like terms: 3x + x = 4x 2 + 4x = 4 + -1x + x Combine like terms: -1x + x = 0 2 + 4x = 4 + 0 2 + 4x = 4 Add '-2' to each side of the equation. 2 + -2 + 4x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 4 + -2 4x = 4 + -2 Combine like terms: 4 + -2 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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