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Simplifying 14x + 13 = 12x + 24 Reorder the terms: 13 + 14x = 12x + 24 Reorder the terms: 13 + 14x = 24 + 12x Solving 13 + 14x = 24 + 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. 13 + 14x + -12x = 24 + 12x + -12x Combine like terms: 14x + -12x = 2x 13 + 2x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 13 + 2x = 24 + 0 13 + 2x = 24 Add '-13' to each side of the equation. 13 + -13 + 2x = 24 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 24 + -13 2x = 24 + -13 Combine like terms: 24 + -13 = 11 2x = 11 Divide each side by '2'. x = 5.5 Simplifying x = 5.5
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