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Simplifying 3(15x + -9y) + 5(4y + -1x) = 0 (15x * 3 + -9y * 3) + 5(4y + -1x) = 0 (45x + -27y) + 5(4y + -1x) = 0 Reorder the terms: 45x + -27y + 5(-1x + 4y) = 0 45x + -27y + (-1x * 5 + 4y * 5) = 0 45x + -27y + (-5x + 20y) = 0 Reorder the terms: 45x + -5x + -27y + 20y = 0 Combine like terms: 45x + -5x = 40x 40x + -27y + 20y = 0 Combine like terms: -27y + 20y = -7y 40x + -7y = 0 Solving 40x + -7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 40x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 40x + 0 = 0 + 7y 40x = 0 + 7y Remove the zero: 40x = 7y Divide each side by '40'. x = 0.175y Simplifying x = 0.175y
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