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Simplifying 29x + -5 = 83 + 12x + -3 Reorder the terms: -5 + 29x = 83 + 12x + -3 Reorder the terms: -5 + 29x = 83 + -3 + 12x Combine like terms: 83 + -3 = 80 -5 + 29x = 80 + 12x Solving -5 + 29x = 80 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -5 + 29x + -12x = 80 + 12x + -12x Combine like terms: 29x + -12x = 17x -5 + 17x = 80 + 12x + -12x Combine like terms: 12x + -12x = 0 -5 + 17x = 80 + 0 -5 + 17x = 80 Add '5' to each side of the equation. -5 + 5 + 17x = 80 + 5 Combine like terms: -5 + 5 = 0 0 + 17x = 80 + 5 17x = 80 + 5 Combine like terms: 80 + 5 = 85 17x = 85 Divide each side by '17'. x = 5 Simplifying x = 5
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