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Simplifying (79x + -67y) + -1(51x + 37y) = 0 Remove parenthesis around (79x + -67y) 79x + -67y + -1(51x + 37y) = 0 79x + -67y + (51x * -1 + 37y * -1) = 0 79x + -67y + (-51x + -37y) = 0 Reorder the terms: 79x + -51x + -67y + -37y = 0 Combine like terms: 79x + -51x = 28x 28x + -67y + -37y = 0 Combine like terms: -67y + -37y = -104y 28x + -104y = 0 Solving 28x + -104y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '104y' to each side of the equation. 28x + -104y + 104y = 0 + 104y Combine like terms: -104y + 104y = 0 28x + 0 = 0 + 104y 28x = 0 + 104y Remove the zero: 28x = 104y Divide each side by '28'. x = 3.714285714y Simplifying x = 3.714285714y
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