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Simplifying (65x + 54y) + -1(-25x + 9y) = 0 Remove parenthesis around (65x + 54y) 65x + 54y + -1(-25x + 9y) = 0 65x + 54y + (-25x * -1 + 9y * -1) = 0 65x + 54y + (25x + -9y) = 0 Reorder the terms: 65x + 25x + 54y + -9y = 0 Combine like terms: 65x + 25x = 90x 90x + 54y + -9y = 0 Combine like terms: 54y + -9y = 45y 90x + 45y = 0 Solving 90x + 45y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45y' to each side of the equation. 90x + 45y + -45y = 0 + -45y Combine like terms: 45y + -45y = 0 90x + 0 = 0 + -45y 90x = 0 + -45y Remove the zero: 90x = -45y Divide each side by '90'. x = -0.5y Simplifying x = -0.5y
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