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Simplifying 5(2x + 3y) + -4(3x + 5y) = 0 (2x * 5 + 3y * 5) + -4(3x + 5y) = 0 (10x + 15y) + -4(3x + 5y) = 0 10x + 15y + (3x * -4 + 5y * -4) = 0 10x + 15y + (-12x + -20y) = 0 Reorder the terms: 10x + -12x + 15y + -20y = 0 Combine like terms: 10x + -12x = -2x -2x + 15y + -20y = 0 Combine like terms: 15y + -20y = -5y -2x + -5y = 0 Solving -2x + -5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. -2x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 -2x + 0 = 0 + 5y -2x = 0 + 5y Remove the zero: -2x = 5y Divide each side by '-2'. x = -2.5y Simplifying x = -2.5y
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