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Simplifying (2x + 3y) + (8x + -2y) = 0 Remove parenthesis around (2x + 3y) 2x + 3y + (8x + -2y) = 0 Remove parenthesis around (8x + -2y) 2x + 3y + 8x + -2y = 0 Reorder the terms: 2x + 8x + 3y + -2y = 0 Combine like terms: 2x + 8x = 10x 10x + 3y + -2y = 0 Combine like terms: 3y + -2y = 1y 10x + 1y = 0 Solving 10x + 1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 10x + 1y + -1y = 0 + -1y Combine like terms: 1y + -1y = 0 10x + 0 = 0 + -1y 10x = 0 + -1y Remove the zero: 10x = -1y Divide each side by '10'. x = -0.1y Simplifying x = -0.1y
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