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Simplifying -67 + 12x = 83 + 7x Solving -67 + 12x = 83 + 7x 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. -67 + 12x + -7x = 83 + 7x + -7x Combine like terms: 12x + -7x = 5x -67 + 5x = 83 + 7x + -7x Combine like terms: 7x + -7x = 0 -67 + 5x = 83 + 0 -67 + 5x = 83 Add '67' to each side of the equation. -67 + 67 + 5x = 83 + 67 Combine like terms: -67 + 67 = 0 0 + 5x = 83 + 67 5x = 83 + 67 Combine like terms: 83 + 67 = 150 5x = 150 Divide each side by '5'. x = 30 Simplifying x = 30
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