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Simplifying 3 + -1(2x + -1) + -2(x + -2) = -1(x + -3) Reorder the terms: 3 + -1(-1 + 2x) + -2(x + -2) = -1(x + -3) 3 + (-1 * -1 + 2x * -1) + -2(x + -2) = -1(x + -3) 3 + (1 + -2x) + -2(x + -2) = -1(x + -3) Reorder the terms: 3 + 1 + -2x + -2(-2 + x) = -1(x + -3) 3 + 1 + -2x + (-2 * -2 + x * -2) = -1(x + -3) 3 + 1 + -2x + (4 + -2x) = -1(x + -3) Reorder the terms: 3 + 1 + 4 + -2x + -2x = -1(x + -3) Combine like terms: 3 + 1 = 4 4 + 4 + -2x + -2x = -1(x + -3) Combine like terms: 4 + 4 = 8 8 + -2x + -2x = -1(x + -3) Combine like terms: -2x + -2x = -4x 8 + -4x = -1(x + -3) Reorder the terms: 8 + -4x = -1(-3 + x) 8 + -4x = (-3 * -1 + x * -1) 8 + -4x = (3 + -1x) Solving 8 + -4x = 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. 8 + -4x + x = 3 + -1x + x Combine like terms: -4x + x = -3x 8 + -3x = 3 + -1x + x Combine like terms: -1x + x = 0 8 + -3x = 3 + 0 8 + -3x = 3 Add '-8' to each side of the equation. 8 + -8 + -3x = 3 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 3 + -8 -3x = 3 + -8 Combine like terms: 3 + -8 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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