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Simplifying -5(3x + -1) = -1(x + -9) Reorder the terms: -5(-1 + 3x) = -1(x + -9) (-1 * -5 + 3x * -5) = -1(x + -9) (5 + -15x) = -1(x + -9) Reorder the terms: 5 + -15x = -1(-9 + x) 5 + -15x = (-9 * -1 + x * -1) 5 + -15x = (9 + -1x) Solving 5 + -15x = 9 + -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. 5 + -15x + x = 9 + -1x + x Combine like terms: -15x + x = -14x 5 + -14x = 9 + -1x + x Combine like terms: -1x + x = 0 5 + -14x = 9 + 0 5 + -14x = 9 Add '-5' to each side of the equation. 5 + -5 + -14x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -14x = 9 + -5 -14x = 9 + -5 Combine like terms: 9 + -5 = 4 -14x = 4 Divide each side by '-14'. x = -0.2857142857 Simplifying x = -0.2857142857
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