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Simplifying 2(3x + -4y) + 7(2x + -3y) = 0 (3x * 2 + -4y * 2) + 7(2x + -3y) = 0 (6x + -8y) + 7(2x + -3y) = 0 6x + -8y + (2x * 7 + -3y * 7) = 0 6x + -8y + (14x + -21y) = 0 Reorder the terms: 6x + 14x + -8y + -21y = 0 Combine like terms: 6x + 14x = 20x 20x + -8y + -21y = 0 Combine like terms: -8y + -21y = -29y 20x + -29y = 0 Solving 20x + -29y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29y' to each side of the equation. 20x + -29y + 29y = 0 + 29y Combine like terms: -29y + 29y = 0 20x + 0 = 0 + 29y 20x = 0 + 29y Remove the zero: 20x = 29y Divide each side by '20'. x = 1.45y Simplifying x = 1.45y
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