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Simplifying (80x + -48y) + -1(52x + 9y) = 0 Remove parenthesis around (80x + -48y) 80x + -48y + -1(52x + 9y) = 0 80x + -48y + (52x * -1 + 9y * -1) = 0 80x + -48y + (-52x + -9y) = 0 Reorder the terms: 80x + -52x + -48y + -9y = 0 Combine like terms: 80x + -52x = 28x 28x + -48y + -9y = 0 Combine like terms: -48y + -9y = -57y 28x + -57y = 0 Solving 28x + -57y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '57y' to each side of the equation. 28x + -57y + 57y = 0 + 57y Combine like terms: -57y + 57y = 0 28x + 0 = 0 + 57y 28x = 0 + 57y Remove the zero: 28x = 57y Divide each side by '28'. x = 2.035714286y Simplifying x = 2.035714286y
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