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Simplifying 4(3x + -2y) + 5(x + y) = 0 (3x * 4 + -2y * 4) + 5(x + y) = 0 (12x + -8y) + 5(x + y) = 0 12x + -8y + (x * 5 + y * 5) = 0 12x + -8y + (5x + 5y) = 0 Reorder the terms: 12x + 5x + -8y + 5y = 0 Combine like terms: 12x + 5x = 17x 17x + -8y + 5y = 0 Combine like terms: -8y + 5y = -3y 17x + -3y = 0 Solving 17x + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 17x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 17x + 0 = 0 + 3y 17x = 0 + 3y Remove the zero: 17x = 3y Divide each side by '17'. x = 0.1764705882y Simplifying x = 0.1764705882y
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