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Simplifying (2x + -1y) + (6x + -1y) = 0 Remove parenthesis around (2x + -1y) 2x + -1y + (6x + -1y) = 0 Remove parenthesis around (6x + -1y) 2x + -1y + 6x + -1y = 0 Reorder the terms: 2x + 6x + -1y + -1y = 0 Combine like terms: 2x + 6x = 8x 8x + -1y + -1y = 0 Combine like terms: -1y + -1y = -2y 8x + -2y = 0 Solving 8x + -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. 8x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 8x + 0 = 0 + 2y 8x = 0 + 2y Remove the zero: 8x = 2y Divide each side by '8'. x = 0.25y Simplifying x = 0.25y
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