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Simplifying 3(2x + 1) = -1(5 + -3x) Reorder the terms: 3(1 + 2x) = -1(5 + -3x) (1 * 3 + 2x * 3) = -1(5 + -3x) (3 + 6x) = -1(5 + -3x) 3 + 6x = (5 * -1 + -3x * -1) 3 + 6x = (-5 + 3x) Solving 3 + 6x = -5 + 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. 3 + 6x + -3x = -5 + 3x + -3x Combine like terms: 6x + -3x = 3x 3 + 3x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 3x = -5 + 0 3 + 3x = -5 Add '-3' to each side of the equation. 3 + -3 + 3x = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = -5 + -3 3x = -5 + -3 Combine like terms: -5 + -3 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667
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