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Simplifying 6x + 1 = 2(2x + 1) Reorder the terms: 1 + 6x = 2(2x + 1) Reorder the terms: 1 + 6x = 2(1 + 2x) 1 + 6x = (1 * 2 + 2x * 2) 1 + 6x = (2 + 4x) Solving 1 + 6x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 6x + -4x = 2 + 4x + -4x Combine like terms: 6x + -4x = 2x 1 + 2x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 2x = 2 + 0 1 + 2x = 2 Add '-1' to each side of the equation. 1 + -1 + 2x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 2 + -1 2x = 2 + -1 Combine like terms: 2 + -1 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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