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