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Simplifying 7(4x + 7) = 7x + 14 + x Reorder the terms: 7(7 + 4x) = 7x + 14 + x (7 * 7 + 4x * 7) = 7x + 14 + x (49 + 28x) = 7x + 14 + x Reorder the terms: 49 + 28x = 14 + 7x + x Combine like terms: 7x + x = 8x 49 + 28x = 14 + 8x Solving 49 + 28x = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 49 + 28x + -8x = 14 + 8x + -8x Combine like terms: 28x + -8x = 20x 49 + 20x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 49 + 20x = 14 + 0 49 + 20x = 14 Add '-49' to each side of the equation. 49 + -49 + 20x = 14 + -49 Combine like terms: 49 + -49 = 0 0 + 20x = 14 + -49 20x = 14 + -49 Combine like terms: 14 + -49 = -35 20x = -35 Divide each side by '20'. x = -1.75 Simplifying x = -1.75
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