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Simplifying 0 = 4(4x + 3y) + 2(5x + -2y) 0 = (4x * 4 + 3y * 4) + 2(5x + -2y) 0 = (16x + 12y) + 2(5x + -2y) 0 = 16x + 12y + (5x * 2 + -2y * 2) 0 = 16x + 12y + (10x + -4y) Reorder the terms: 0 = 16x + 10x + 12y + -4y Combine like terms: 16x + 10x = 26x 0 = 26x + 12y + -4y Combine like terms: 12y + -4y = 8y 0 = 26x + 8y Solving 0 = 26x + 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 0 + -26x = 26x + -26x + 8y Remove the zero: -26x = 26x + -26x + 8y Combine like terms: 26x + -26x = 0 -26x = 0 + 8y -26x = 8y Divide each side by '-26'. x = -0.3076923077y Simplifying x = -0.3076923077y
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