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