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Simplifying 3(2x + 1) = x + 8 Reorder the terms: 3(1 + 2x) = x + 8 (1 * 3 + 2x * 3) = x + 8 (3 + 6x) = x + 8 Reorder the terms: 3 + 6x = 8 + x Solving 3 + 6x = 8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + 6x + -1x = 8 + x + -1x Combine like terms: 6x + -1x = 5x 3 + 5x = 8 + x + -1x Combine like terms: x + -1x = 0 3 + 5x = 8 + 0 3 + 5x = 8 Add '-3' to each side of the equation. 3 + -3 + 5x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 8 + -3 5x = 8 + -3 Combine like terms: 8 + -3 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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