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Simplifying 13x + 16 = 12x + 17 Reorder the terms: 16 + 13x = 12x + 17 Reorder the terms: 16 + 13x = 17 + 12x Solving 16 + 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. 16 + 13x + -12x = 17 + 12x + -12x Combine like terms: 13x + -12x = 1x 16 + 1x = 17 + 12x + -12x Combine like terms: 12x + -12x = 0 16 + 1x = 17 + 0 16 + 1x = 17 Add '-16' to each side of the equation. 16 + -16 + 1x = 17 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 17 + -16 1x = 17 + -16 Combine like terms: 17 + -16 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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