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Simplifying 4x + 13(6x + 121) = -47 Reorder the terms: 4x + 13(121 + 6x) = -47 4x + (121 * 13 + 6x * 13) = -47 4x + (1573 + 78x) = -47 Reorder the terms: 1573 + 4x + 78x = -47 Combine like terms: 4x + 78x = 82x 1573 + 82x = -47 Solving 1573 + 82x = -47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1573' to each side of the equation. 1573 + -1573 + 82x = -47 + -1573 Combine like terms: 1573 + -1573 = 0 0 + 82x = -47 + -1573 82x = -47 + -1573 Combine like terms: -47 + -1573 = -1620 82x = -1620 Divide each side by '82'. x = -19.75609756 Simplifying x = -19.75609756
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