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Simplifying 12x + 105 = 13x + 1 Reorder the terms: 105 + 12x = 13x + 1 Reorder the terms: 105 + 12x = 1 + 13x Solving 105 + 12x = 1 + 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. 105 + 12x + -13x = 1 + 13x + -13x Combine like terms: 12x + -13x = -1x 105 + -1x = 1 + 13x + -13x Combine like terms: 13x + -13x = 0 105 + -1x = 1 + 0 105 + -1x = 1 Add '-105' to each side of the equation. 105 + -105 + -1x = 1 + -105 Combine like terms: 105 + -105 = 0 0 + -1x = 1 + -105 -1x = 1 + -105 Combine like terms: 1 + -105 = -104 -1x = -104 Divide each side by '-1'. x = 104 Simplifying x = 104
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