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Simplifying (x + -1y) + 6z = -1x + 12 Remove parenthesis around (x + -1y) x + -1y + 6z = -1x + 12 Reorder the terms: x + -1y + 6z = 12 + -1x Solving x + -1y + 6z = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. x + -1y + x + 6z = 12 + -1x + x Reorder the terms: x + x + -1y + 6z = 12 + -1x + x Combine like terms: x + x = 2x 2x + -1y + 6z = 12 + -1x + x Combine like terms: -1x + x = 0 2x + -1y + 6z = 12 + 0 2x + -1y + 6z = 12 Add 'y' to each side of the equation. 2x + -1y + y + 6z = 12 + y Combine like terms: -1y + y = 0 2x + 0 + 6z = 12 + y 2x + 6z = 12 + y Add '-6z' to each side of the equation. 2x + 6z + -6z = 12 + y + -6z Combine like terms: 6z + -6z = 0 2x + 0 = 12 + y + -6z 2x = 12 + y + -6z Divide each side by '2'. x = 6 + 0.5y + -3z Simplifying x = 6 + 0.5y + -3z
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