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Simplifying 12x + 11 = 13x + 1 Reorder the terms: 11 + 12x = 13x + 1 Reorder the terms: 11 + 12x = 1 + 13x Solving 11 + 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. 11 + 12x + -13x = 1 + 13x + -13x Combine like terms: 12x + -13x = -1x 11 + -1x = 1 + 13x + -13x Combine like terms: 13x + -13x = 0 11 + -1x = 1 + 0 11 + -1x = 1 Add '-11' to each side of the equation. 11 + -11 + -1x = 1 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 1 + -11 -1x = 1 + -11 Combine like terms: 1 + -11 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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