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Simplifying -2(3x + 3y) + 5(2x + 5y) = 0 (3x * -2 + 3y * -2) + 5(2x + 5y) = 0 (-6x + -6y) + 5(2x + 5y) = 0 -6x + -6y + (2x * 5 + 5y * 5) = 0 -6x + -6y + (10x + 25y) = 0 Reorder the terms: -6x + 10x + -6y + 25y = 0 Combine like terms: -6x + 10x = 4x 4x + -6y + 25y = 0 Combine like terms: -6y + 25y = 19y 4x + 19y = 0 Solving 4x + 19y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19y' to each side of the equation. 4x + 19y + -19y = 0 + -19y Combine like terms: 19y + -19y = 0 4x + 0 = 0 + -19y 4x = 0 + -19y Remove the zero: 4x = -19y Divide each side by '4'. x = -4.75y Simplifying x = -4.75y
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