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Simplifying 12x + -48 + -1(17 + 9y) = 3n + -12 12x + -48 + (17 * -1 + 9y * -1) = 3n + -12 12x + -48 + (-17 + -9y) = 3n + -12 Reorder the terms: -48 + -17 + 12x + -9y = 3n + -12 Combine like terms: -48 + -17 = -65 -65 + 12x + -9y = 3n + -12 Reorder the terms: -65 + 12x + -9y = -12 + 3n Solving -65 + 12x + -9y = -12 + 3n Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 12x + 65 + -9y = -12 + 65 + 3n Reorder the terms: -65 + 65 + 12x + -9y = -12 + 65 + 3n Combine like terms: -65 + 65 = 0 0 + 12x + -9y = -12 + 65 + 3n 12x + -9y = -12 + 65 + 3n Combine like terms: -12 + 65 = 53 12x + -9y = 53 + 3n Add '9y' to each side of the equation. 12x + -9y + 9y = 53 + 3n + 9y Combine like terms: -9y + 9y = 0 12x + 0 = 53 + 3n + 9y 12x = 53 + 3n + 9y Divide each side by '12'. x = 4.416666667 + 0.25n + 0.75y Simplifying x = 4.416666667 + 0.25n + 0.75y
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