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Simplifying (74x + -67y) + -1(56x + 8y) = 0 Remove parenthesis around (74x + -67y) 74x + -67y + -1(56x + 8y) = 0 74x + -67y + (56x * -1 + 8y * -1) = 0 74x + -67y + (-56x + -8y) = 0 Reorder the terms: 74x + -56x + -67y + -8y = 0 Combine like terms: 74x + -56x = 18x 18x + -67y + -8y = 0 Combine like terms: -67y + -8y = -75y 18x + -75y = 0 Solving 18x + -75y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '75y' to each side of the equation. 18x + -75y + 75y = 0 + 75y Combine like terms: -75y + 75y = 0 18x + 0 = 0 + 75y 18x = 0 + 75y Remove the zero: 18x = 75y Divide each side by '18'. x = 4.166666667y Simplifying x = 4.166666667y
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