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Simplifying 3(2x + 5y) + 4(x + -2y) = 0 (2x * 3 + 5y * 3) + 4(x + -2y) = 0 (6x + 15y) + 4(x + -2y) = 0 6x + 15y + (x * 4 + -2y * 4) = 0 6x + 15y + (4x + -8y) = 0 Reorder the terms: 6x + 4x + 15y + -8y = 0 Combine like terms: 6x + 4x = 10x 10x + 15y + -8y = 0 Combine like terms: 15y + -8y = 7y 10x + 7y = 0 Solving 10x + 7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 10x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 10x + 0 = 0 + -7y 10x = 0 + -7y Remove the zero: 10x = -7y Divide each side by '10'. x = -0.7y Simplifying x = -0.7y
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