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Simplifying 3x + -1(x + -2) = (2x + -1) + -1(3x + 9) Reorder the terms: 3x + -1(-2 + x) = (2x + -1) + -1(3x + 9) 3x + (-2 * -1 + x * -1) = (2x + -1) + -1(3x + 9) 3x + (2 + -1x) = (2x + -1) + -1(3x + 9) Reorder the terms: 2 + 3x + -1x = (2x + -1) + -1(3x + 9) Combine like terms: 3x + -1x = 2x 2 + 2x = (2x + -1) + -1(3x + 9) Reorder the terms: 2 + 2x = (-1 + 2x) + -1(3x + 9) Remove parenthesis around (-1 + 2x) 2 + 2x = -1 + 2x + -1(3x + 9) Reorder the terms: 2 + 2x = -1 + 2x + -1(9 + 3x) 2 + 2x = -1 + 2x + (9 * -1 + 3x * -1) 2 + 2x = -1 + 2x + (-9 + -3x) Reorder the terms: 2 + 2x = -1 + -9 + 2x + -3x Combine like terms: -1 + -9 = -10 2 + 2x = -10 + 2x + -3x Combine like terms: 2x + -3x = -1x 2 + 2x = -10 + -1x Solving 2 + 2x = -10 + -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 = -10 + -1x + x Combine like terms: 2x + x = 3x 2 + 3x = -10 + -1x + x Combine like terms: -1x + x = 0 2 + 3x = -10 + 0 2 + 3x = -10 Add '-2' to each side of the equation. 2 + -2 + 3x = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = -10 + -2 3x = -10 + -2 Combine like terms: -10 + -2 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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