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Simplifying 4(1 + -1x) + 2x = 3(x + 1) (1 * 4 + -1x * 4) + 2x = 3(x + 1) (4 + -4x) + 2x = 3(x + 1) Combine like terms: -4x + 2x = -2x 4 + -2x = 3(x + 1) Reorder the terms: 4 + -2x = 3(1 + x) 4 + -2x = (1 * 3 + x * 3) 4 + -2x = (3 + 3x) Solving 4 + -2x = 3 + 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. 4 + -2x + -3x = 3 + 3x + -3x Combine like terms: -2x + -3x = -5x 4 + -5x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -5x = 3 + 0 4 + -5x = 3 Add '-4' to each side of the equation. 4 + -4 + -5x = 3 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 3 + -4 -5x = 3 + -4 Combine like terms: 3 + -4 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2
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