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