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Simplifying 3(6x + -7y) + -1(x + 5y) = 0 (6x * 3 + -7y * 3) + -1(x + 5y) = 0 (18x + -21y) + -1(x + 5y) = 0 18x + -21y + (x * -1 + 5y * -1) = 0 18x + -21y + (-1x + -5y) = 0 Reorder the terms: 18x + -1x + -21y + -5y = 0 Combine like terms: 18x + -1x = 17x 17x + -21y + -5y = 0 Combine like terms: -21y + -5y = -26y 17x + -26y = 0 Solving 17x + -26y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26y' to each side of the equation. 17x + -26y + 26y = 0 + 26y Combine like terms: -26y + 26y = 0 17x + 0 = 0 + 26y 17x = 0 + 26y Remove the zero: 17x = 26y Divide each side by '17'. x = 1.529411765y Simplifying x = 1.529411765y
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