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Simplifying 4(2x + -2y) + -1(5x + 2y) = 0 (2x * 4 + -2y * 4) + -1(5x + 2y) = 0 (8x + -8y) + -1(5x + 2y) = 0 8x + -8y + (5x * -1 + 2y * -1) = 0 8x + -8y + (-5x + -2y) = 0 Reorder the terms: 8x + -5x + -8y + -2y = 0 Combine like terms: 8x + -5x = 3x 3x + -8y + -2y = 0 Combine like terms: -8y + -2y = -10y 3x + -10y = 0 Solving 3x + -10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 3x + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 3x + 0 = 0 + 10y 3x = 0 + 10y Remove the zero: 3x = 10y Divide each side by '3'. x = 3.333333333y Simplifying x = 3.333333333y
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