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Simplifying 5(2x + -3y) + -4(3x + 6y) = 0 (2x * 5 + -3y * 5) + -4(3x + 6y) = 0 (10x + -15y) + -4(3x + 6y) = 0 10x + -15y + (3x * -4 + 6y * -4) = 0 10x + -15y + (-12x + -24y) = 0 Reorder the terms: 10x + -12x + -15y + -24y = 0 Combine like terms: 10x + -12x = -2x -2x + -15y + -24y = 0 Combine like terms: -15y + -24y = -39y -2x + -39y = 0 Solving -2x + -39y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39y' to each side of the equation. -2x + -39y + 39y = 0 + 39y Combine like terms: -39y + 39y = 0 -2x + 0 = 0 + 39y -2x = 0 + 39y Remove the zero: -2x = 39y Divide each side by '-2'. x = -19.5y Simplifying x = -19.5y
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