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Simplifying 14(2x + 4) = 5x + 1 Reorder the terms: 14(4 + 2x) = 5x + 1 (4 * 14 + 2x * 14) = 5x + 1 (56 + 28x) = 5x + 1 Reorder the terms: 56 + 28x = 1 + 5x Solving 56 + 28x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 56 + 28x + -5x = 1 + 5x + -5x Combine like terms: 28x + -5x = 23x 56 + 23x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 56 + 23x = 1 + 0 56 + 23x = 1 Add '-56' to each side of the equation. 56 + -56 + 23x = 1 + -56 Combine like terms: 56 + -56 = 0 0 + 23x = 1 + -56 23x = 1 + -56 Combine like terms: 1 + -56 = -55 23x = -55 Divide each side by '23'. x = -2.391304348 Simplifying x = -2.391304348
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