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Simplifying 5(4x + 2) + -5x + 1 = -49 Reorder the terms: 5(2 + 4x) + -5x + 1 = -49 (2 * 5 + 4x * 5) + -5x + 1 = -49 (10 + 20x) + -5x + 1 = -49 Reorder the terms: 10 + 1 + 20x + -5x = -49 Combine like terms: 10 + 1 = 11 11 + 20x + -5x = -49 Combine like terms: 20x + -5x = 15x 11 + 15x = -49 Solving 11 + 15x = -49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 15x = -49 + -11 Combine like terms: 11 + -11 = 0 0 + 15x = -49 + -11 15x = -49 + -11 Combine like terms: -49 + -11 = -60 15x = -60 Divide each side by '15'. x = -4 Simplifying x = -4
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