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Simplifying (76x + -52y) + -1(52x + 10y) = 0 Remove parenthesis around (76x + -52y) 76x + -52y + -1(52x + 10y) = 0 76x + -52y + (52x * -1 + 10y * -1) = 0 76x + -52y + (-52x + -10y) = 0 Reorder the terms: 76x + -52x + -52y + -10y = 0 Combine like terms: 76x + -52x = 24x 24x + -52y + -10y = 0 Combine like terms: -52y + -10y = -62y 24x + -62y = 0 Solving 24x + -62y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '62y' to each side of the equation. 24x + -62y + 62y = 0 + 62y Combine like terms: -62y + 62y = 0 24x + 0 = 0 + 62y 24x = 0 + 62y Remove the zero: 24x = 62y Divide each side by '24'. x = 2.583333333y Simplifying x = 2.583333333y
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