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