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Simplifying 6(3x + -1y) + -4(2x + y) = 0 (3x * 6 + -1y * 6) + -4(2x + y) = 0 (18x + -6y) + -4(2x + y) = 0 18x + -6y + (2x * -4 + y * -4) = 0 18x + -6y + (-8x + -4y) = 0 Reorder the terms: 18x + -8x + -6y + -4y = 0 Combine like terms: 18x + -8x = 10x 10x + -6y + -4y = 0 Combine like terms: -6y + -4y = -10y 10x + -10y = 0 Solving 10x + -10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 10x + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 10x + 0 = 0 + 10y 10x = 0 + 10y Remove the zero: 10x = 10y Divide each side by '10'. x = y Simplifying x = y
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