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