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Simplifying 7z + -12x + -5 = -45 + 15 Reorder the terms: -5 + -12x + 7z = -45 + 15 Combine like terms: -45 + 15 = -30 -5 + -12x + 7z = -30 Solving -5 + -12x + 7z = -30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -12x + 5 + 7z = -30 + 5 Reorder the terms: -5 + 5 + -12x + 7z = -30 + 5 Combine like terms: -5 + 5 = 0 0 + -12x + 7z = -30 + 5 -12x + 7z = -30 + 5 Combine like terms: -30 + 5 = -25 -12x + 7z = -25 Add '-7z' to each side of the equation. -12x + 7z + -7z = -25 + -7z Combine like terms: 7z + -7z = 0 -12x + 0 = -25 + -7z -12x = -25 + -7z Divide each side by '-12'. x = 2.083333333 + 0.5833333333z Simplifying x = 2.083333333 + 0.5833333333z
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