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Simplifying 12x + 13x + 12 = 14x + 40 Reorder the terms: 12 + 12x + 13x = 14x + 40 Combine like terms: 12x + 13x = 25x 12 + 25x = 14x + 40 Reorder the terms: 12 + 25x = 40 + 14x Solving 12 + 25x = 40 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 12 + 25x + -14x = 40 + 14x + -14x Combine like terms: 25x + -14x = 11x 12 + 11x = 40 + 14x + -14x Combine like terms: 14x + -14x = 0 12 + 11x = 40 + 0 12 + 11x = 40 Add '-12' to each side of the equation. 12 + -12 + 11x = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = 40 + -12 11x = 40 + -12 Combine like terms: 40 + -12 = 28 11x = 28 Divide each side by '11'. x = 2.545454545 Simplifying x = 2.545454545
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