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Simplifying 2(4x + 1) = 3x + 17 Reorder the terms: 2(1 + 4x) = 3x + 17 (1 * 2 + 4x * 2) = 3x + 17 (2 + 8x) = 3x + 17 Reorder the terms: 2 + 8x = 17 + 3x Solving 2 + 8x = 17 + 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. 2 + 8x + -3x = 17 + 3x + -3x Combine like terms: 8x + -3x = 5x 2 + 5x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 5x = 17 + 0 2 + 5x = 17 Add '-2' to each side of the equation. 2 + -2 + 5x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 17 + -2 5x = 17 + -2 Combine like terms: 17 + -2 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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