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Simplifying 3x + -1(x + -2) = 2x + -3(x + 1) Reorder the terms: 3x + -1(-2 + x) = 2x + -3(x + 1) 3x + (-2 * -1 + x * -1) = 2x + -3(x + 1) 3x + (2 + -1x) = 2x + -3(x + 1) Reorder the terms: 2 + 3x + -1x = 2x + -3(x + 1) Combine like terms: 3x + -1x = 2x 2 + 2x = 2x + -3(x + 1) Reorder the terms: 2 + 2x = 2x + -3(1 + x) 2 + 2x = 2x + (1 * -3 + x * -3) 2 + 2x = 2x + (-3 + -3x) Reorder the terms: 2 + 2x = -3 + 2x + -3x Combine like terms: 2x + -3x = -1x 2 + 2x = -3 + -1x Solving 2 + 2x = -3 + -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. 2 + 2x + x = -3 + -1x + x Combine like terms: 2x + x = 3x 2 + 3x = -3 + -1x + x Combine like terms: -1x + x = 0 2 + 3x = -3 + 0 2 + 3x = -3 Add '-2' to each side of the equation. 2 + -2 + 3x = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = -3 + -2 3x = -3 + -2 Combine like terms: -3 + -2 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667
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