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Simplifying 5(2x + -1y) + (3x + 4y) = 0 (2x * 5 + -1y * 5) + (3x + 4y) = 0 (10x + -5y) + (3x + 4y) = 0 Remove parenthesis around (3x + 4y) 10x + -5y + 3x + 4y = 0 Reorder the terms: 10x + 3x + -5y + 4y = 0 Combine like terms: 10x + 3x = 13x 13x + -5y + 4y = 0 Combine like terms: -5y + 4y = -1y 13x + -1y = 0 Solving 13x + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 13x + -1y + y = 0 + y Combine like terms: -1y + y = 0 13x + 0 = 0 + y 13x = 0 + y Remove the zero: 13x = y Divide each side by '13'. x = 0.07692307692y Simplifying x = 0.07692307692y
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