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Simplifying 3 + -1(3x + -1) = -2(3x + 2) Reorder the terms: 3 + -1(-1 + 3x) = -2(3x + 2) 3 + (-1 * -1 + 3x * -1) = -2(3x + 2) 3 + (1 + -3x) = -2(3x + 2) Combine like terms: 3 + 1 = 4 4 + -3x = -2(3x + 2) Reorder the terms: 4 + -3x = -2(2 + 3x) 4 + -3x = (2 * -2 + 3x * -2) 4 + -3x = (-4 + -6x) Solving 4 + -3x = -4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 4 + -3x + 6x = -4 + -6x + 6x Combine like terms: -3x + 6x = 3x 4 + 3x = -4 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 3x = -4 + 0 4 + 3x = -4 Add '-4' to each side of the equation. 4 + -4 + 3x = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = -4 + -4 3x = -4 + -4 Combine like terms: -4 + -4 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667
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