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Simplifying 12 = 3x + 4y + 6z Solving 12 = 3x + 4y + 6z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + -3x = 3x + 4y + -3x + 6z Reorder the terms: 12 + -3x = 3x + -3x + 4y + 6z Combine like terms: 3x + -3x = 0 12 + -3x = 0 + 4y + 6z 12 + -3x = 4y + 6z Add '-12' to each side of the equation. 12 + -12 + -3x = 4y + -12 + 6z Combine like terms: 12 + -12 = 0 0 + -3x = 4y + -12 + 6z -3x = 4y + -12 + 6z Reorder the terms: -3x = -12 + 4y + 6z Divide each side by '-3'. x = 4 + -1.333333333y + -2z Simplifying x = 4 + -1.333333333y + -2z
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