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Simplifying 13x + 3 = 12x + 5 Reorder the terms: 3 + 13x = 12x + 5 Reorder the terms: 3 + 13x = 5 + 12x Solving 3 + 13x = 5 + 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. 3 + 13x + -12x = 5 + 12x + -12x Combine like terms: 13x + -12x = 1x 3 + 1x = 5 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + 1x = 5 + 0 3 + 1x = 5 Add '-3' to each side of the equation. 3 + -3 + 1x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 5 + -3 1x = 5 + -3 Combine like terms: 5 + -3 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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