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Simplifying 12x + -4 + 3z = 8 + 5x Reorder the terms: -4 + 12x + 3z = 8 + 5x Solving -4 + 12x + 3z = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 12x + -5x + 3z = 8 + 5x + -5x Combine like terms: 12x + -5x = 7x -4 + 7x + 3z = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 7x + 3z = 8 + 0 -4 + 7x + 3z = 8 Add '4' to each side of the equation. -4 + 7x + 4 + 3z = 8 + 4 Reorder the terms: -4 + 4 + 7x + 3z = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 7x + 3z = 8 + 4 7x + 3z = 8 + 4 Combine like terms: 8 + 4 = 12 7x + 3z = 12 Add '-3z' to each side of the equation. 7x + 3z + -3z = 12 + -3z Combine like terms: 3z + -3z = 0 7x + 0 = 12 + -3z 7x = 12 + -3z Divide each side by '7'. x = 1.714285714 + -0.4285714286z Simplifying x = 1.714285714 + -0.4285714286z
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