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Simplifying 5(3x + -4y) + -1(2x + -1y) = 0 (3x * 5 + -4y * 5) + -1(2x + -1y) = 0 (15x + -20y) + -1(2x + -1y) = 0 15x + -20y + (2x * -1 + -1y * -1) = 0 15x + -20y + (-2x + 1y) = 0 Reorder the terms: 15x + -2x + -20y + 1y = 0 Combine like terms: 15x + -2x = 13x 13x + -20y + 1y = 0 Combine like terms: -20y + 1y = -19y 13x + -19y = 0 Solving 13x + -19y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19y' to each side of the equation. 13x + -19y + 19y = 0 + 19y Combine like terms: -19y + 19y = 0 13x + 0 = 0 + 19y 13x = 0 + 19y Remove the zero: 13x = 19y Divide each side by '13'. x = 1.461538462y Simplifying x = 1.461538462y
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