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Simplifying 3 + 6(x + 3) = 2x + 1 Reorder the terms: 3 + 6(3 + x) = 2x + 1 3 + (3 * 6 + x * 6) = 2x + 1 3 + (18 + 6x) = 2x + 1 Combine like terms: 3 + 18 = 21 21 + 6x = 2x + 1 Reorder the terms: 21 + 6x = 1 + 2x Solving 21 + 6x = 1 + 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. 21 + 6x + -2x = 1 + 2x + -2x Combine like terms: 6x + -2x = 4x 21 + 4x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 4x = 1 + 0 21 + 4x = 1 Add '-21' to each side of the equation. 21 + -21 + 4x = 1 + -21 Combine like terms: 21 + -21 = 0 0 + 4x = 1 + -21 4x = 1 + -21 Combine like terms: 1 + -21 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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