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Simplifying 4(x + 1) + x = 3(x + 2) + -2 Reorder the terms: 4(1 + x) + x = 3(x + 2) + -2 (1 * 4 + x * 4) + x = 3(x + 2) + -2 (4 + 4x) + x = 3(x + 2) + -2 Combine like terms: 4x + x = 5x 4 + 5x = 3(x + 2) + -2 Reorder the terms: 4 + 5x = 3(2 + x) + -2 4 + 5x = (2 * 3 + x * 3) + -2 4 + 5x = (6 + 3x) + -2 Reorder the terms: 4 + 5x = 6 + -2 + 3x Combine like terms: 6 + -2 = 4 4 + 5x = 4 + 3x Add '-4' to each side of the equation. 4 + -4 + 5x = 4 + -4 + 3x Combine like terms: 4 + -4 = 0 0 + 5x = 4 + -4 + 3x 5x = 4 + -4 + 3x Combine like terms: 4 + -4 = 0 5x = 0 + 3x 5x = 3x Solving 5x = 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. 5x + -3x = 3x + -3x Combine like terms: 5x + -3x = 2x 2x = 3x + -3x Combine like terms: 3x + -3x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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