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Simplifying (2x + -3y) + 8(x + y) + -1(4y + 2x) = 0 Remove parenthesis around (2x + -3y) 2x + -3y + 8(x + y) + -1(4y + 2x) = 0 2x + -3y + (x * 8 + y * 8) + -1(4y + 2x) = 0 2x + -3y + (8x + 8y) + -1(4y + 2x) = 0 Reorder the terms: 2x + -3y + 8x + 8y + -1(2x + 4y) = 0 2x + -3y + 8x + 8y + (2x * -1 + 4y * -1) = 0 2x + -3y + 8x + 8y + (-2x + -4y) = 0 Reorder the terms: 2x + 8x + -2x + -3y + 8y + -4y = 0 Combine like terms: 2x + 8x = 10x 10x + -2x + -3y + 8y + -4y = 0 Combine like terms: 10x + -2x = 8x 8x + -3y + 8y + -4y = 0 Combine like terms: -3y + 8y = 5y 8x + 5y + -4y = 0 Combine like terms: 5y + -4y = 1y 8x + 1y = 0 Solving 8x + 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. 8x + 1y + -1y = 0 + -1y Combine like terms: 1y + -1y = 0 8x + 0 = 0 + -1y 8x = 0 + -1y Remove the zero: 8x = -1y Divide each side by '8'. x = -0.125y Simplifying x = -0.125y
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