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Simplifying 3(2x + -5y) + -2(2x + 3y) = 0 (2x * 3 + -5y * 3) + -2(2x + 3y) = 0 (6x + -15y) + -2(2x + 3y) = 0 6x + -15y + (2x * -2 + 3y * -2) = 0 6x + -15y + (-4x + -6y) = 0 Reorder the terms: 6x + -4x + -15y + -6y = 0 Combine like terms: 6x + -4x = 2x 2x + -15y + -6y = 0 Combine like terms: -15y + -6y = -21y 2x + -21y = 0 Solving 2x + -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. 2x + -21y + 21y = 0 + 21y Combine like terms: -21y + 21y = 0 2x + 0 = 0 + 21y 2x = 0 + 21y Remove the zero: 2x = 21y Divide each side by '2'. x = 10.5y Simplifying x = 10.5y
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