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Simplifying 13x + 5 = 12x + 6 Reorder the terms: 5 + 13x = 12x + 6 Reorder the terms: 5 + 13x = 6 + 12x Solving 5 + 13x = 6 + 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. 5 + 13x + -12x = 6 + 12x + -12x Combine like terms: 13x + -12x = 1x 5 + 1x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 5 + 1x = 6 + 0 5 + 1x = 6 Add '-5' to each side of the equation. 5 + -5 + 1x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 6 + -5 1x = 6 + -5 Combine like terms: 6 + -5 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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