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Simplifying 5(4x + 2) + -5x + 1 = -41 Reorder the terms: 5(2 + 4x) + -5x + 1 = -41 (2 * 5 + 4x * 5) + -5x + 1 = -41 (10 + 20x) + -5x + 1 = -41 Reorder the terms: 10 + 1 + 20x + -5x = -41 Combine like terms: 10 + 1 = 11 11 + 20x + -5x = -41 Combine like terms: 20x + -5x = 15x 11 + 15x = -41 Solving 11 + 15x = -41 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 = -41 + -11 Combine like terms: 11 + -11 = 0 0 + 15x = -41 + -11 15x = -41 + -11 Combine like terms: -41 + -11 = -52 15x = -52 Divide each side by '15'. x = -3.466666667 Simplifying x = -3.466666667
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