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Simplifying (72x + -67y) + -1(57x + 10y) = 0 Remove parenthesis around (72x + -67y) 72x + -67y + -1(57x + 10y) = 0 72x + -67y + (57x * -1 + 10y * -1) = 0 72x + -67y + (-57x + -10y) = 0 Reorder the terms: 72x + -57x + -67y + -10y = 0 Combine like terms: 72x + -57x = 15x 15x + -67y + -10y = 0 Combine like terms: -67y + -10y = -77y 15x + -77y = 0 Solving 15x + -77y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '77y' to each side of the equation. 15x + -77y + 77y = 0 + 77y Combine like terms: -77y + 77y = 0 15x + 0 = 0 + 77y 15x = 0 + 77y Remove the zero: 15x = 77y Divide each side by '15'. x = 5.133333333y Simplifying x = 5.133333333y
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