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Simplifying (74x + -45y) + -1(65x + 13y) = 0 Remove parenthesis around (74x + -45y) 74x + -45y + -1(65x + 13y) = 0 74x + -45y + (65x * -1 + 13y * -1) = 0 74x + -45y + (-65x + -13y) = 0 Reorder the terms: 74x + -65x + -45y + -13y = 0 Combine like terms: 74x + -65x = 9x 9x + -45y + -13y = 0 Combine like terms: -45y + -13y = -58y 9x + -58y = 0 Solving 9x + -58y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '58y' to each side of the equation. 9x + -58y + 58y = 0 + 58y Combine like terms: -58y + 58y = 0 9x + 0 = 0 + 58y 9x = 0 + 58y Remove the zero: 9x = 58y Divide each side by '9'. x = 6.444444444y Simplifying x = 6.444444444y
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