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Simplifying 6(2x + -3y) + -1(x + 7y) = 0 (2x * 6 + -3y * 6) + -1(x + 7y) = 0 (12x + -18y) + -1(x + 7y) = 0 12x + -18y + (x * -1 + 7y * -1) = 0 12x + -18y + (-1x + -7y) = 0 Reorder the terms: 12x + -1x + -18y + -7y = 0 Combine like terms: 12x + -1x = 11x 11x + -18y + -7y = 0 Combine like terms: -18y + -7y = -25y 11x + -25y = 0 Solving 11x + -25y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25y' to each side of the equation. 11x + -25y + 25y = 0 + 25y Combine like terms: -25y + 25y = 0 11x + 0 = 0 + 25y 11x = 0 + 25y Remove the zero: 11x = 25y Divide each side by '11'. x = 2.272727273y Simplifying x = 2.272727273y
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