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