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Simplifying 12 + -1z + 2x = 3x + 6 Reorder the terms: 12 + 2x + -1z = 3x + 6 Reorder the terms: 12 + 2x + -1z = 6 + 3x Solving 12 + 2x + -1z = 6 + 3x 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 + 2x + -3x + -1z = 6 + 3x + -3x Combine like terms: 2x + -3x = -1x 12 + -1x + -1z = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -1x + -1z = 6 + 0 12 + -1x + -1z = 6 Add '-12' to each side of the equation. 12 + -1x + -12 + -1z = 6 + -12 Reorder the terms: 12 + -12 + -1x + -1z = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -1x + -1z = 6 + -12 -1x + -1z = 6 + -12 Combine like terms: 6 + -12 = -6 -1x + -1z = -6 Add 'z' to each side of the equation. -1x + -1z + z = -6 + z Combine like terms: -1z + z = 0 -1x + 0 = -6 + z -1x = -6 + z Divide each side by '-1'. x = 6 + -1z Simplifying x = 6 + -1z
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