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Simplifying 9 + -10(12x + -6) = 5(2 + x) Reorder the terms: 9 + -10(-6 + 12x) = 5(2 + x) 9 + (-6 * -10 + 12x * -10) = 5(2 + x) 9 + (60 + -120x) = 5(2 + x) Combine like terms: 9 + 60 = 69 69 + -120x = 5(2 + x) 69 + -120x = (2 * 5 + x * 5) 69 + -120x = (10 + 5x) Solving 69 + -120x = 10 + 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. 69 + -120x + -5x = 10 + 5x + -5x Combine like terms: -120x + -5x = -125x 69 + -125x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 69 + -125x = 10 + 0 69 + -125x = 10 Add '-69' to each side of the equation. 69 + -69 + -125x = 10 + -69 Combine like terms: 69 + -69 = 0 0 + -125x = 10 + -69 -125x = 10 + -69 Combine like terms: 10 + -69 = -59 -125x = -59 Divide each side by '-125'. x = 0.472 Simplifying x = 0.472
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