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Simplifying 4x + -2z + 12 = 22 Reorder the terms: 12 + 4x + -2z = 22 Solving 12 + 4x + -2z = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 4x + -12 + -2z = 22 + -12 Reorder the terms: 12 + -12 + 4x + -2z = 22 + -12 Combine like terms: 12 + -12 = 0 0 + 4x + -2z = 22 + -12 4x + -2z = 22 + -12 Combine like terms: 22 + -12 = 10 4x + -2z = 10 Add '2z' to each side of the equation. 4x + -2z + 2z = 10 + 2z Combine like terms: -2z + 2z = 0 4x + 0 = 10 + 2z 4x = 10 + 2z Divide each side by '4'. x = 2.5 + 0.5z Simplifying x = 2.5 + 0.5z
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