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Simplifying 13x + 10 = 12x + 34 Reorder the terms: 10 + 13x = 12x + 34 Reorder the terms: 10 + 13x = 34 + 12x Solving 10 + 13x = 34 + 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. 10 + 13x + -12x = 34 + 12x + -12x Combine like terms: 13x + -12x = 1x 10 + 1x = 34 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + 1x = 34 + 0 10 + 1x = 34 Add '-10' to each side of the equation. 10 + -10 + 1x = 34 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 34 + -10 1x = 34 + -10 Combine like terms: 34 + -10 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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