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Simplifying 5(4x + 2) + 1 = 3x + 2 Reorder the terms: 5(2 + 4x) + 1 = 3x + 2 (2 * 5 + 4x * 5) + 1 = 3x + 2 (10 + 20x) + 1 = 3x + 2 Reorder the terms: 10 + 1 + 20x = 3x + 2 Combine like terms: 10 + 1 = 11 11 + 20x = 3x + 2 Reorder the terms: 11 + 20x = 2 + 3x Solving 11 + 20x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 11 + 20x + -3x = 2 + 3x + -3x Combine like terms: 20x + -3x = 17x 11 + 17x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 11 + 17x = 2 + 0 11 + 17x = 2 Add '-11' to each side of the equation. 11 + -11 + 17x = 2 + -11 Combine like terms: 11 + -11 = 0 0 + 17x = 2 + -11 17x = 2 + -11 Combine like terms: 2 + -11 = -9 17x = -9 Divide each side by '17'. x = -0.5294117647 Simplifying x = -0.5294117647
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