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Simplifying (85x + -47y) + -1(50x + 15y) = 0 Remove parenthesis around (85x + -47y) 85x + -47y + -1(50x + 15y) = 0 85x + -47y + (50x * -1 + 15y * -1) = 0 85x + -47y + (-50x + -15y) = 0 Reorder the terms: 85x + -50x + -47y + -15y = 0 Combine like terms: 85x + -50x = 35x 35x + -47y + -15y = 0 Combine like terms: -47y + -15y = -62y 35x + -62y = 0 Solving 35x + -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. 35x + -62y + 62y = 0 + 62y Combine like terms: -62y + 62y = 0 35x + 0 = 0 + 62y 35x = 0 + 62y Remove the zero: 35x = 62y Divide each side by '35'. x = 1.771428571y Simplifying x = 1.771428571y
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