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Simplifying 6(x + -3y) + 2(2x + -5y) = 0 (x * 6 + -3y * 6) + 2(2x + -5y) = 0 (6x + -18y) + 2(2x + -5y) = 0 6x + -18y + (2x * 2 + -5y * 2) = 0 6x + -18y + (4x + -10y) = 0 Reorder the terms: 6x + 4x + -18y + -10y = 0 Combine like terms: 6x + 4x = 10x 10x + -18y + -10y = 0 Combine like terms: -18y + -10y = -28y 10x + -28y = 0 Solving 10x + -28y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28y' to each side of the equation. 10x + -28y + 28y = 0 + 28y Combine like terms: -28y + 28y = 0 10x + 0 = 0 + 28y 10x = 0 + 28y Remove the zero: 10x = 28y Divide each side by '10'. x = 2.8y Simplifying x = 2.8y
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