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Simplifying 3x + 2y + -2(5x + -4y) = 0 3x + 2y + (5x * -2 + -4y * -2) = 0 3x + 2y + (-10x + 8y) = 0 Reorder the terms: 3x + -10x + 2y + 8y = 0 Combine like terms: 3x + -10x = -7x -7x + 2y + 8y = 0 Combine like terms: 2y + 8y = 10y -7x + 10y = 0 Solving -7x + 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. -7x + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 -7x + 0 = 0 + -10y -7x = 0 + -10y Remove the zero: -7x = -10y Divide each side by '-7'. x = 1.428571429y Simplifying x = 1.428571429y
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