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Simplifying 4(6x + -5y) + 2(x + 9y) = 0 (6x * 4 + -5y * 4) + 2(x + 9y) = 0 (24x + -20y) + 2(x + 9y) = 0 24x + -20y + (x * 2 + 9y * 2) = 0 24x + -20y + (2x + 18y) = 0 Reorder the terms: 24x + 2x + -20y + 18y = 0 Combine like terms: 24x + 2x = 26x 26x + -20y + 18y = 0 Combine like terms: -20y + 18y = -2y 26x + -2y = 0 Solving 26x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 26x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 26x + 0 = 0 + 2y 26x = 0 + 2y Remove the zero: 26x = 2y Divide each side by '26'. x = 0.07692307692y Simplifying x = 0.07692307692y
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