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Simplifying 12 + 2z + -1x = 9x + 6 Reorder the terms: 12 + -1x + 2z = 9x + 6 Reorder the terms: 12 + -1x + 2z = 6 + 9x Solving 12 + -1x + 2z = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + -1x + -9x + 2z = 6 + 9x + -9x Combine like terms: -1x + -9x = -10x 12 + -10x + 2z = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -10x + 2z = 6 + 0 12 + -10x + 2z = 6 Add '-12' to each side of the equation. 12 + -10x + -12 + 2z = 6 + -12 Reorder the terms: 12 + -12 + -10x + 2z = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -10x + 2z = 6 + -12 -10x + 2z = 6 + -12 Combine like terms: 6 + -12 = -6 -10x + 2z = -6 Add '-2z' to each side of the equation. -10x + 2z + -2z = -6 + -2z Combine like terms: 2z + -2z = 0 -10x + 0 = -6 + -2z -10x = -6 + -2z Divide each side by '-10'. x = 0.6 + 0.2z Simplifying x = 0.6 + 0.2z
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