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Simplifying 2x + 1(3x + -1) = 14x + 14 Reorder the terms: 2x + 1(-1 + 3x) = 14x + 14 2x + (-1 * 1 + 3x * 1) = 14x + 14 2x + (-1 + 3x) = 14x + 14 Reorder the terms: -1 + 2x + 3x = 14x + 14 Combine like terms: 2x + 3x = 5x -1 + 5x = 14x + 14 Reorder the terms: -1 + 5x = 14 + 14x Solving -1 + 5x = 14 + 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. -1 + 5x + -14x = 14 + 14x + -14x Combine like terms: 5x + -14x = -9x -1 + -9x = 14 + 14x + -14x Combine like terms: 14x + -14x = 0 -1 + -9x = 14 + 0 -1 + -9x = 14 Add '1' to each side of the equation. -1 + 1 + -9x = 14 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = 14 + 1 -9x = 14 + 1 Combine like terms: 14 + 1 = 15 -9x = 15 Divide each side by '-9'. x = -1.666666667 Simplifying x = -1.666666667
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