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Simplifying 3x + 7(4x + 13) = -157 Reorder the terms: 3x + 7(13 + 4x) = -157 3x + (13 * 7 + 4x * 7) = -157 3x + (91 + 28x) = -157 Reorder the terms: 91 + 3x + 28x = -157 Combine like terms: 3x + 28x = 31x 91 + 31x = -157 Solving 91 + 31x = -157 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-91' to each side of the equation. 91 + -91 + 31x = -157 + -91 Combine like terms: 91 + -91 = 0 0 + 31x = -157 + -91 31x = -157 + -91 Combine like terms: -157 + -91 = -248 31x = -248 Divide each side by '31'. x = -8 Simplifying x = -8
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