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Simplifying 8(4x + -3y) + -5(2x + -3y) = 0 (4x * 8 + -3y * 8) + -5(2x + -3y) = 0 (32x + -24y) + -5(2x + -3y) = 0 32x + -24y + (2x * -5 + -3y * -5) = 0 32x + -24y + (-10x + 15y) = 0 Reorder the terms: 32x + -10x + -24y + 15y = 0 Combine like terms: 32x + -10x = 22x 22x + -24y + 15y = 0 Combine like terms: -24y + 15y = -9y 22x + -9y = 0 Solving 22x + -9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. 22x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 22x + 0 = 0 + 9y 22x = 0 + 9y Remove the zero: 22x = 9y Divide each side by '22'. x = 0.4090909091y Simplifying x = 0.4090909091y
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