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Simplifying -1z + 4(x + 3) = -12 Reorder the terms: -1z + 4(3 + x) = -12 -1z + (3 * 4 + x * 4) = -12 -1z + (12 + 4x) = -12 Reorder the terms: 12 + 4x + -1z = -12 Solving 12 + 4x + -1z = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 4x + -12 + -1z = -12 + -12 Reorder the terms: 12 + -12 + 4x + -1z = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 4x + -1z = -12 + -12 4x + -1z = -12 + -12 Combine like terms: -12 + -12 = -24 4x + -1z = -24 Add 'z' to each side of the equation. 4x + -1z + z = -24 + z Combine like terms: -1z + z = 0 4x + 0 = -24 + z 4x = -24 + z Divide each side by '4'. x = -6 + 0.25z Simplifying x = -6 + 0.25z
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