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Simplifying 3(2x + 1) = 2(2 + -1x) Reorder the terms: 3(1 + 2x) = 2(2 + -1x) (1 * 3 + 2x * 3) = 2(2 + -1x) (3 + 6x) = 2(2 + -1x) 3 + 6x = (2 * 2 + -1x * 2) 3 + 6x = (4 + -2x) Solving 3 + 6x = 4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3 + 6x + 2x = 4 + -2x + 2x Combine like terms: 6x + 2x = 8x 3 + 8x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 8x = 4 + 0 3 + 8x = 4 Add '-3' to each side of the equation. 3 + -3 + 8x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 4 + -3 8x = 4 + -3 Combine like terms: 4 + -3 = 1 8x = 1 Divide each side by '8'. x = 0.125 Simplifying x = 0.125
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