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Simplifying 13x + 8 = 12x + 17 Reorder the terms: 8 + 13x = 12x + 17 Reorder the terms: 8 + 13x = 17 + 12x Solving 8 + 13x = 17 + 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. 8 + 13x + -12x = 17 + 12x + -12x Combine like terms: 13x + -12x = 1x 8 + 1x = 17 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + 1x = 17 + 0 8 + 1x = 17 Add '-8' to each side of the equation. 8 + -8 + 1x = 17 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 17 + -8 1x = 17 + -8 Combine like terms: 17 + -8 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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