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Simplifying 8x + -1z = 12x Solving 8x + -1z = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8x + -12x + -1z = 12x + -12x Combine like terms: 8x + -12x = -4x -4x + -1z = 12x + -12x Combine like terms: 12x + -12x = 0 -4x + -1z = 0 Add 'z' to each side of the equation. -4x + -1z + z = 0 + z Combine like terms: -1z + z = 0 -4x + 0 = 0 + z -4x = 0 + z Remove the zero: -4x = z Divide each side by '-4'. x = -0.25z Simplifying x = -0.25z
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