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Simplifying 13x + 24 = 12x + 13 Reorder the terms: 24 + 13x = 12x + 13 Reorder the terms: 24 + 13x = 13 + 12x Solving 24 + 13x = 13 + 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. 24 + 13x + -12x = 13 + 12x + -12x Combine like terms: 13x + -12x = 1x 24 + 1x = 13 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + 1x = 13 + 0 24 + 1x = 13 Add '-24' to each side of the equation. 24 + -24 + 1x = 13 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 13 + -24 1x = 13 + -24 Combine like terms: 13 + -24 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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