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Simplifying 5x + 7y + -6z = 12xy + -6z Add '6z' to each side of the equation. 5x + 7y + -6z + 6z = 12xy + -6z + 6z Combine like terms: -6z + 6z = 0 5x + 7y + 0 = 12xy + -6z + 6z 5x + 7y = 12xy + -6z + 6z Combine like terms: -6z + 6z = 0 5x + 7y = 12xy + 0 5x + 7y = 12xy Solving 5x + 7y = 12xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12xy' to each side of the equation. 5x + -12xy + 7y = 12xy + -12xy Combine like terms: 12xy + -12xy = 0 5x + -12xy + 7y = 0 Add '-7y' to each side of the equation. 5x + -12xy + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 5x + -12xy + 0 = 0 + -7y 5x + -12xy = 0 + -7y Remove the zero: 5x + -12xy = -7y Combine like terms: -7y + 7y = 0 5x + -12xy + 7y = 0 The solution to this equation could not be determined.
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