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