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Simplifying 13(3x + -2) + 2 = 14x + 1 Reorder the terms: 13(-2 + 3x) + 2 = 14x + 1 (-2 * 13 + 3x * 13) + 2 = 14x + 1 (-26 + 39x) + 2 = 14x + 1 Reorder the terms: -26 + 2 + 39x = 14x + 1 Combine like terms: -26 + 2 = -24 -24 + 39x = 14x + 1 Reorder the terms: -24 + 39x = 1 + 14x Solving -24 + 39x = 1 + 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. -24 + 39x + -14x = 1 + 14x + -14x Combine like terms: 39x + -14x = 25x -24 + 25x = 1 + 14x + -14x Combine like terms: 14x + -14x = 0 -24 + 25x = 1 + 0 -24 + 25x = 1 Add '24' to each side of the equation. -24 + 24 + 25x = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 25x = 1 + 24 25x = 1 + 24 Combine like terms: 1 + 24 = 25 25x = 25 Divide each side by '25'. x = 1 Simplifying x = 1
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