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Simplifying 3(x + 1) = 2 + -1(x + 1) Reorder the terms: 3(1 + x) = 2 + -1(x + 1) (1 * 3 + x * 3) = 2 + -1(x + 1) (3 + 3x) = 2 + -1(x + 1) Reorder the terms: 3 + 3x = 2 + -1(1 + x) 3 + 3x = 2 + (1 * -1 + x * -1) 3 + 3x = 2 + (-1 + -1x) Combine like terms: 2 + -1 = 1 3 + 3x = 1 + -1x Solving 3 + 3x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + 3x + x = 1 + -1x + x Combine like terms: 3x + x = 4x 3 + 4x = 1 + -1x + x Combine like terms: -1x + x = 0 3 + 4x = 1 + 0 3 + 4x = 1 Add '-3' to each side of the equation. 3 + -3 + 4x = 1 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 1 + -3 4x = 1 + -3 Combine like terms: 1 + -3 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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