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Simplifying 83 + -5x = 7x + 23 Reorder the terms: 83 + -5x = 23 + 7x Solving 83 + -5x = 23 + 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. 83 + -5x + -7x = 23 + 7x + -7x Combine like terms: -5x + -7x = -12x 83 + -12x = 23 + 7x + -7x Combine like terms: 7x + -7x = 0 83 + -12x = 23 + 0 83 + -12x = 23 Add '-83' to each side of the equation. 83 + -83 + -12x = 23 + -83 Combine like terms: 83 + -83 = 0 0 + -12x = 23 + -83 -12x = 23 + -83 Combine like terms: 23 + -83 = -60 -12x = -60 Divide each side by '-12'. x = 5 Simplifying x = 5
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