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