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Simplifying -5(3x + -1) = -9(1 + 2x) Reorder the terms: -5(-1 + 3x) = -9(1 + 2x) (-1 * -5 + 3x * -5) = -9(1 + 2x) (5 + -15x) = -9(1 + 2x) 5 + -15x = (1 * -9 + 2x * -9) 5 + -15x = (-9 + -18x) Solving 5 + -15x = -9 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 5 + -15x + 18x = -9 + -18x + 18x Combine like terms: -15x + 18x = 3x 5 + 3x = -9 + -18x + 18x Combine like terms: -18x + 18x = 0 5 + 3x = -9 + 0 5 + 3x = -9 Add '-5' to each side of the equation. 5 + -5 + 3x = -9 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = -9 + -5 3x = -9 + -5 Combine like terms: -9 + -5 = -14 3x = -14 Divide each side by '3'. x = -4.666666667 Simplifying x = -4.666666667
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