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Simplifying 12x + 17 = 13x + 16 Reorder the terms: 17 + 12x = 13x + 16 Reorder the terms: 17 + 12x = 16 + 13x Solving 17 + 12x = 16 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 17 + 12x + -13x = 16 + 13x + -13x Combine like terms: 12x + -13x = -1x 17 + -1x = 16 + 13x + -13x Combine like terms: 13x + -13x = 0 17 + -1x = 16 + 0 17 + -1x = 16 Add '-17' to each side of the equation. 17 + -17 + -1x = 16 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 16 + -17 -1x = 16 + -17 Combine like terms: 16 + -17 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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