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Simplifying (72x + -54y) + -1(45x + 10y) = 0 Remove parenthesis around (72x + -54y) 72x + -54y + -1(45x + 10y) = 0 72x + -54y + (45x * -1 + 10y * -1) = 0 72x + -54y + (-45x + -10y) = 0 Reorder the terms: 72x + -45x + -54y + -10y = 0 Combine like terms: 72x + -45x = 27x 27x + -54y + -10y = 0 Combine like terms: -54y + -10y = -64y 27x + -64y = 0 Solving 27x + -64y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64y' to each side of the equation. 27x + -64y + 64y = 0 + 64y Combine like terms: -64y + 64y = 0 27x + 0 = 0 + 64y 27x = 0 + 64y Remove the zero: 27x = 64y Divide each side by '27'. x = 2.37037037y Simplifying x = 2.37037037y
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