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Simplifying 6(4x + -7y) + -1(x + 2y) = 0 (4x * 6 + -7y * 6) + -1(x + 2y) = 0 (24x + -42y) + -1(x + 2y) = 0 24x + -42y + (x * -1 + 2y * -1) = 0 24x + -42y + (-1x + -2y) = 0 Reorder the terms: 24x + -1x + -42y + -2y = 0 Combine like terms: 24x + -1x = 23x 23x + -42y + -2y = 0 Combine like terms: -42y + -2y = -44y 23x + -44y = 0 Solving 23x + -44y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44y' to each side of the equation. 23x + -44y + 44y = 0 + 44y Combine like terms: -44y + 44y = 0 23x + 0 = 0 + 44y 23x = 0 + 44y Remove the zero: 23x = 44y Divide each side by '23'. x = 1.913043478y Simplifying x = 1.913043478y
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