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