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Simplifying (54x + 89y) + -1(-45x + 2y) = 0 Remove parenthesis around (54x + 89y) 54x + 89y + -1(-45x + 2y) = 0 54x + 89y + (-45x * -1 + 2y * -1) = 0 54x + 89y + (45x + -2y) = 0 Reorder the terms: 54x + 45x + 89y + -2y = 0 Combine like terms: 54x + 45x = 99x 99x + 89y + -2y = 0 Combine like terms: 89y + -2y = 87y 99x + 87y = 0 Solving 99x + 87y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-87y' to each side of the equation. 99x + 87y + -87y = 0 + -87y Combine like terms: 87y + -87y = 0 99x + 0 = 0 + -87y 99x = 0 + -87y Remove the zero: 99x = -87y Divide each side by '99'. x = -0.8787878788y Simplifying x = -0.8787878788y
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