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Simplifying 4(2x + 4y) + 5(6x + -7y) = 0 (2x * 4 + 4y * 4) + 5(6x + -7y) = 0 (8x + 16y) + 5(6x + -7y) = 0 8x + 16y + (6x * 5 + -7y * 5) = 0 8x + 16y + (30x + -35y) = 0 Reorder the terms: 8x + 30x + 16y + -35y = 0 Combine like terms: 8x + 30x = 38x 38x + 16y + -35y = 0 Combine like terms: 16y + -35y = -19y 38x + -19y = 0 Solving 38x + -19y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19y' to each side of the equation. 38x + -19y + 19y = 0 + 19y Combine like terms: -19y + 19y = 0 38x + 0 = 0 + 19y 38x = 0 + 19y Remove the zero: 38x = 19y Divide each side by '38'. x = 0.5y Simplifying x = 0.5y
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