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Simplifying (80x + -54y) + -1(62x + 9y) = 0 Remove parenthesis around (80x + -54y) 80x + -54y + -1(62x + 9y) = 0 80x + -54y + (62x * -1 + 9y * -1) = 0 80x + -54y + (-62x + -9y) = 0 Reorder the terms: 80x + -62x + -54y + -9y = 0 Combine like terms: 80x + -62x = 18x 18x + -54y + -9y = 0 Combine like terms: -54y + -9y = -63y 18x + -63y = 0 Solving 18x + -63y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63y' to each side of the equation. 18x + -63y + 63y = 0 + 63y Combine like terms: -63y + 63y = 0 18x + 0 = 0 + 63y 18x = 0 + 63y Remove the zero: 18x = 63y Divide each side by '18'. x = 3.5y Simplifying x = 3.5y
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