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Simplifying 3(6x + -2y) + 4(2x + 2y) = 0 (6x * 3 + -2y * 3) + 4(2x + 2y) = 0 (18x + -6y) + 4(2x + 2y) = 0 18x + -6y + (2x * 4 + 2y * 4) = 0 18x + -6y + (8x + 8y) = 0 Reorder the terms: 18x + 8x + -6y + 8y = 0 Combine like terms: 18x + 8x = 26x 26x + -6y + 8y = 0 Combine like terms: -6y + 8y = 2y 26x + 2y = 0 Solving 26x + 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. 26x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 26x + 0 = 0 + -2y 26x = 0 + -2y Remove the zero: 26x = -2y Divide each side by '26'. x = -0.07692307692y Simplifying x = -0.07692307692y
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