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Simplifying 3(10x + -13y) + -4(-2x + -3y) = 0 (10x * 3 + -13y * 3) + -4(-2x + -3y) = 0 (30x + -39y) + -4(-2x + -3y) = 0 30x + -39y + (-2x * -4 + -3y * -4) = 0 30x + -39y + (8x + 12y) = 0 Reorder the terms: 30x + 8x + -39y + 12y = 0 Combine like terms: 30x + 8x = 38x 38x + -39y + 12y = 0 Combine like terms: -39y + 12y = -27y 38x + -27y = 0 Solving 38x + -27y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27y' to each side of the equation. 38x + -27y + 27y = 0 + 27y Combine like terms: -27y + 27y = 0 38x + 0 = 0 + 27y 38x = 0 + 27y Remove the zero: 38x = 27y Divide each side by '38'. x = 0.7105263158y Simplifying x = 0.7105263158y
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