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Simplifying 3x + 1 = 1(x + 6) Reorder the terms: 1 + 3x = 1(x + 6) Reorder the terms: 1 + 3x = 1(6 + x) 1 + 3x = (6 * 1 + x * 1) 1 + 3x = (6 + 1x) Solving 1 + 3x = 6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + 3x + -1x = 6 + 1x + -1x Combine like terms: 3x + -1x = 2x 1 + 2x = 6 + 1x + -1x Combine like terms: 1x + -1x = 0 1 + 2x = 6 + 0 1 + 2x = 6 Add '-1' to each side of the equation. 1 + -1 + 2x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 6 + -1 2x = 6 + -1 Combine like terms: 6 + -1 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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