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Simplifying 3 + 2x + -1(x + 1) = 3x + -1 Reorder the terms: 3 + 2x + -1(1 + x) = 3x + -1 3 + 2x + (1 * -1 + x * -1) = 3x + -1 3 + 2x + (-1 + -1x) = 3x + -1 Reorder the terms: 3 + -1 + 2x + -1x = 3x + -1 Combine like terms: 3 + -1 = 2 2 + 2x + -1x = 3x + -1 Combine like terms: 2x + -1x = 1x 2 + 1x = 3x + -1 Reorder the terms: 2 + 1x = -1 + 3x Solving 2 + 1x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + 1x + -3x = -1 + 3x + -3x Combine like terms: 1x + -3x = -2x 2 + -2x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -2x = -1 + 0 2 + -2x = -1 Add '-2' to each side of the equation. 2 + -2 + -2x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -1 + -2 -2x = -1 + -2 Combine like terms: -1 + -2 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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