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Simplifying -5x + 7(4x + 15) = -79 Reorder the terms: -5x + 7(15 + 4x) = -79 -5x + (15 * 7 + 4x * 7) = -79 -5x + (105 + 28x) = -79 Reorder the terms: 105 + -5x + 28x = -79 Combine like terms: -5x + 28x = 23x 105 + 23x = -79 Solving 105 + 23x = -79 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-105' to each side of the equation. 105 + -105 + 23x = -79 + -105 Combine like terms: 105 + -105 = 0 0 + 23x = -79 + -105 23x = -79 + -105 Combine like terms: -79 + -105 = -184 23x = -184 Divide each side by '23'. x = -8 Simplifying x = -8
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