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Simplifying x + -1(14 + 2x) = 13(2x + -3) x + (14 * -1 + 2x * -1) = 13(2x + -3) x + (-14 + -2x) = 13(2x + -3) Reorder the terms: -14 + x + -2x = 13(2x + -3) Combine like terms: x + -2x = -1x -14 + -1x = 13(2x + -3) Reorder the terms: -14 + -1x = 13(-3 + 2x) -14 + -1x = (-3 * 13 + 2x * 13) -14 + -1x = (-39 + 26x) Solving -14 + -1x = -39 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. -14 + -1x + -26x = -39 + 26x + -26x Combine like terms: -1x + -26x = -27x -14 + -27x = -39 + 26x + -26x Combine like terms: 26x + -26x = 0 -14 + -27x = -39 + 0 -14 + -27x = -39 Add '14' to each side of the equation. -14 + 14 + -27x = -39 + 14 Combine like terms: -14 + 14 = 0 0 + -27x = -39 + 14 -27x = -39 + 14 Combine like terms: -39 + 14 = -25 -27x = -25 Divide each side by '-27'. x = 0.9259259259 Simplifying x = 0.9259259259
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