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Simplifying -2(3x + 2y) + 5(2x + 5y) = 0 (3x * -2 + 2y * -2) + 5(2x + 5y) = 0 (-6x + -4y) + 5(2x + 5y) = 0 -6x + -4y + (2x * 5 + 5y * 5) = 0 -6x + -4y + (10x + 25y) = 0 Reorder the terms: -6x + 10x + -4y + 25y = 0 Combine like terms: -6x + 10x = 4x 4x + -4y + 25y = 0 Combine like terms: -4y + 25y = 21y 4x + 21y = 0 Solving 4x + 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. 4x + 21y + -21y = 0 + -21y Combine like terms: 21y + -21y = 0 4x + 0 = 0 + -21y 4x = 0 + -21y Remove the zero: 4x = -21y Divide each side by '4'. x = -5.25y Simplifying x = -5.25y
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