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Simplifying 10(2x + -2y) + -8(2x + 2y) = 0 (2x * 10 + -2y * 10) + -8(2x + 2y) = 0 (20x + -20y) + -8(2x + 2y) = 0 20x + -20y + (2x * -8 + 2y * -8) = 0 20x + -20y + (-16x + -16y) = 0 Reorder the terms: 20x + -16x + -20y + -16y = 0 Combine like terms: 20x + -16x = 4x 4x + -20y + -16y = 0 Combine like terms: -20y + -16y = -36y 4x + -36y = 0 Solving 4x + -36y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36y' to each side of the equation. 4x + -36y + 36y = 0 + 36y Combine like terms: -36y + 36y = 0 4x + 0 = 0 + 36y 4x = 0 + 36y Remove the zero: 4x = 36y Divide each side by '4'. x = 9y Simplifying x = 9y
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