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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 Reorder the terms: 3 + -2 + 6x = 2x + 9 Combine like terms: 3 + -2 = 1 1 + 6x = 2x + 9 Reorder the terms: 1 + 6x = 9 + 2x Solving 1 + 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. 1 + 6x + -2x = 9 + 2x + -2x Combine like terms: 6x + -2x = 4x 1 + 4x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 4x = 9 + 0 1 + 4x = 9 Add '-1' to each side of the equation. 1 + -1 + 4x = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 9 + -1 4x = 9 + -1 Combine like terms: 9 + -1 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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