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Simplifying 8(3x + y) + -5(2x + 2y) = 0 (3x * 8 + y * 8) + -5(2x + 2y) = 0 (24x + 8y) + -5(2x + 2y) = 0 24x + 8y + (2x * -5 + 2y * -5) = 0 24x + 8y + (-10x + -10y) = 0 Reorder the terms: 24x + -10x + 8y + -10y = 0 Combine like terms: 24x + -10x = 14x 14x + 8y + -10y = 0 Combine like terms: 8y + -10y = -2y 14x + -2y = 0 Solving 14x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 14x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 14x + 0 = 0 + 2y 14x = 0 + 2y Remove the zero: 14x = 2y Divide each side by '14'. x = 0.1428571429y Simplifying x = 0.1428571429y
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