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Simplifying 3(2x + 1) + 5 = 13 + x Reorder the terms: 3(1 + 2x) + 5 = 13 + x (1 * 3 + 2x * 3) + 5 = 13 + x (3 + 6x) + 5 = 13 + x Reorder the terms: 3 + 5 + 6x = 13 + x Combine like terms: 3 + 5 = 8 8 + 6x = 13 + x Solving 8 + 6x = 13 + 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. 8 + 6x + -1x = 13 + x + -1x Combine like terms: 6x + -1x = 5x 8 + 5x = 13 + x + -1x Combine like terms: x + -1x = 0 8 + 5x = 13 + 0 8 + 5x = 13 Add '-8' to each side of the equation. 8 + -8 + 5x = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 13 + -8 5x = 13 + -8 Combine like terms: 13 + -8 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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