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Simplifying -5(4x + -10) = -10(x + -6) Reorder the terms: -5(-10 + 4x) = -10(x + -6) (-10 * -5 + 4x * -5) = -10(x + -6) (50 + -20x) = -10(x + -6) Reorder the terms: 50 + -20x = -10(-6 + x) 50 + -20x = (-6 * -10 + x * -10) 50 + -20x = (60 + -10x) Solving 50 + -20x = 60 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 50 + -20x + 10x = 60 + -10x + 10x Combine like terms: -20x + 10x = -10x 50 + -10x = 60 + -10x + 10x Combine like terms: -10x + 10x = 0 50 + -10x = 60 + 0 50 + -10x = 60 Add '-50' to each side of the equation. 50 + -50 + -10x = 60 + -50 Combine like terms: 50 + -50 = 0 0 + -10x = 60 + -50 -10x = 60 + -50 Combine like terms: 60 + -50 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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