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Simplifying 5x + -7z + 12 = 3y + -7x + 2z Reorder the terms: 12 + 5x + -7z = 3y + -7x + 2z Reorder the terms: 12 + 5x + -7z = -7x + 3y + 2z Solving 12 + 5x + -7z = -7x + 3y + 2z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 12 + 5x + 7x + -7z = -7x + 3y + 7x + 2z Combine like terms: 5x + 7x = 12x 12 + 12x + -7z = -7x + 3y + 7x + 2z Reorder the terms: 12 + 12x + -7z = -7x + 7x + 3y + 2z Combine like terms: -7x + 7x = 0 12 + 12x + -7z = 0 + 3y + 2z 12 + 12x + -7z = 3y + 2z Add '-12' to each side of the equation. 12 + 12x + -12 + -7z = 3y + -12 + 2z Reorder the terms: 12 + -12 + 12x + -7z = 3y + -12 + 2z Combine like terms: 12 + -12 = 0 0 + 12x + -7z = 3y + -12 + 2z 12x + -7z = 3y + -12 + 2z Reorder the terms: 12x + -7z = -12 + 3y + 2z Add '7z' to each side of the equation. 12x + -7z + 7z = -12 + 3y + 2z + 7z Combine like terms: -7z + 7z = 0 12x + 0 = -12 + 3y + 2z + 7z 12x = -12 + 3y + 2z + 7z Combine like terms: 2z + 7z = 9z 12x = -12 + 3y + 9z Divide each side by '12'. x = -1 + 0.25y + 0.75z Simplifying x = -1 + 0.25y + 0.75z
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