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Simplifying (80x + -52y) + -1(62x + 21y) = 0 Remove parenthesis around (80x + -52y) 80x + -52y + -1(62x + 21y) = 0 80x + -52y + (62x * -1 + 21y * -1) = 0 80x + -52y + (-62x + -21y) = 0 Reorder the terms: 80x + -62x + -52y + -21y = 0 Combine like terms: 80x + -62x = 18x 18x + -52y + -21y = 0 Combine like terms: -52y + -21y = -73y 18x + -73y = 0 Solving 18x + -73y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '73y' to each side of the equation. 18x + -73y + 73y = 0 + 73y Combine like terms: -73y + 73y = 0 18x + 0 = 0 + 73y 18x = 0 + 73y Remove the zero: 18x = 73y Divide each side by '18'. x = 4.055555556y Simplifying x = 4.055555556y
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