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Simplifying 2(-6x + 24) = -5(-9x + 2y) Reorder the terms: 2(24 + -6x) = -5(-9x + 2y) (24 * 2 + -6x * 2) = -5(-9x + 2y) (48 + -12x) = -5(-9x + 2y) 48 + -12x = (-9x * -5 + 2y * -5) 48 + -12x = (45x + -10y) Solving 48 + -12x = 45x + -10y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 48 + -12x + -45x = 45x + -45x + -10y Combine like terms: -12x + -45x = -57x 48 + -57x = 45x + -45x + -10y Combine like terms: 45x + -45x = 0 48 + -57x = 0 + -10y 48 + -57x = -10y Add '-48' to each side of the equation. 48 + -48 + -57x = -48 + -10y Combine like terms: 48 + -48 = 0 0 + -57x = -48 + -10y -57x = -48 + -10y Divide each side by '-57'. x = 0.8421052632 + 0.1754385965y Simplifying x = 0.8421052632 + 0.1754385965y
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