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Simplifying -5(3x + -6) = -1(x + -6) Reorder the terms: -5(-6 + 3x) = -1(x + -6) (-6 * -5 + 3x * -5) = -1(x + -6) (30 + -15x) = -1(x + -6) Reorder the terms: 30 + -15x = -1(-6 + x) 30 + -15x = (-6 * -1 + x * -1) 30 + -15x = (6 + -1x) Solving 30 + -15x = 6 + -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. 30 + -15x + x = 6 + -1x + x Combine like terms: -15x + x = -14x 30 + -14x = 6 + -1x + x Combine like terms: -1x + x = 0 30 + -14x = 6 + 0 30 + -14x = 6 Add '-30' to each side of the equation. 30 + -30 + -14x = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -14x = 6 + -30 -14x = 6 + -30 Combine like terms: 6 + -30 = -24 -14x = -24 Divide each side by '-14'. x = 1.714285714 Simplifying x = 1.714285714
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