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Simplifying 3(2x + 1) + (2) = 2x + 9 Reorder the terms: 3(1 + 2x) + (2) = 2x + 9 (1 * 3 + 2x * 3) + (2) = 2x + 9 (3 + 6x) + (2) = 2x + 9 3 + 6x + 2 = 2x + 9 Reorder the terms: 3 + 2 + 6x = 2x + 9 Combine like terms: 3 + 2 = 5 5 + 6x = 2x + 9 Reorder the terms: 5 + 6x = 9 + 2x Solving 5 + 6x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 6x + -2x = 9 + 2x + -2x Combine like terms: 6x + -2x = 4x 5 + 4x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 4x = 9 + 0 5 + 4x = 9 Add '-5' to each side of the equation. 5 + -5 + 4x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 9 + -5 4x = 9 + -5 Combine like terms: 9 + -5 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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