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Simplifying 5(2x + -3y) + -1(2x + -1y) = 0 (2x * 5 + -3y * 5) + -1(2x + -1y) = 0 (10x + -15y) + -1(2x + -1y) = 0 10x + -15y + (2x * -1 + -1y * -1) = 0 10x + -15y + (-2x + 1y) = 0 Reorder the terms: 10x + -2x + -15y + 1y = 0 Combine like terms: 10x + -2x = 8x 8x + -15y + 1y = 0 Combine like terms: -15y + 1y = -14y 8x + -14y = 0 Solving 8x + -14y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14y' to each side of the equation. 8x + -14y + 14y = 0 + 14y Combine like terms: -14y + 14y = 0 8x + 0 = 0 + 14y 8x = 0 + 14y Remove the zero: 8x = 14y Divide each side by '8'. x = 1.75y Simplifying x = 1.75y
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