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Simplifying 2(4x + 7) = x + 49 + 2x Reorder the terms: 2(7 + 4x) = x + 49 + 2x (7 * 2 + 4x * 2) = x + 49 + 2x (14 + 8x) = x + 49 + 2x Reorder the terms: 14 + 8x = 49 + x + 2x Combine like terms: x + 2x = 3x 14 + 8x = 49 + 3x Solving 14 + 8x = 49 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 14 + 8x + -3x = 49 + 3x + -3x Combine like terms: 8x + -3x = 5x 14 + 5x = 49 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 5x = 49 + 0 14 + 5x = 49 Add '-14' to each side of the equation. 14 + -14 + 5x = 49 + -14 Combine like terms: 14 + -14 = 0 0 + 5x = 49 + -14 5x = 49 + -14 Combine like terms: 49 + -14 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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