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Simplifying 5(2x + -3y) + 3(3x + -2y) = 0 (2x * 5 + -3y * 5) + 3(3x + -2y) = 0 (10x + -15y) + 3(3x + -2y) = 0 10x + -15y + (3x * 3 + -2y * 3) = 0 10x + -15y + (9x + -6y) = 0 Reorder the terms: 10x + 9x + -15y + -6y = 0 Combine like terms: 10x + 9x = 19x 19x + -15y + -6y = 0 Combine like terms: -15y + -6y = -21y 19x + -21y = 0 Solving 19x + -21y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21y' to each side of the equation. 19x + -21y + 21y = 0 + 21y Combine like terms: -21y + 21y = 0 19x + 0 = 0 + 21y 19x = 0 + 21y Remove the zero: 19x = 21y Divide each side by '19'. x = 1.105263158y Simplifying x = 1.105263158y
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