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Simplifying 6(-10 + -2x) = 5(x + 5) (-10 * 6 + -2x * 6) = 5(x + 5) (-60 + -12x) = 5(x + 5) Reorder the terms: -60 + -12x = 5(5 + x) -60 + -12x = (5 * 5 + x * 5) -60 + -12x = (25 + 5x) Solving -60 + -12x = 25 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -60 + -12x + -5x = 25 + 5x + -5x Combine like terms: -12x + -5x = -17x -60 + -17x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 -60 + -17x = 25 + 0 -60 + -17x = 25 Add '60' to each side of the equation. -60 + 60 + -17x = 25 + 60 Combine like terms: -60 + 60 = 0 0 + -17x = 25 + 60 -17x = 25 + 60 Combine like terms: 25 + 60 = 85 -17x = 85 Divide each side by '-17'. x = -5 Simplifying x = -5
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