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Simplifying 4(4x + -9y) + 8(3x + 2y) = 0 (4x * 4 + -9y * 4) + 8(3x + 2y) = 0 (16x + -36y) + 8(3x + 2y) = 0 16x + -36y + (3x * 8 + 2y * 8) = 0 16x + -36y + (24x + 16y) = 0 Reorder the terms: 16x + 24x + -36y + 16y = 0 Combine like terms: 16x + 24x = 40x 40x + -36y + 16y = 0 Combine like terms: -36y + 16y = -20y 40x + -20y = 0 Solving 40x + -20y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20y' to each side of the equation. 40x + -20y + 20y = 0 + 20y Combine like terms: -20y + 20y = 0 40x + 0 = 0 + 20y 40x = 0 + 20y Remove the zero: 40x = 20y Divide each side by '40'. x = 0.5y Simplifying x = 0.5y
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