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Simplifying 2(x + 1) + 3x + 1 = 4(x + 2) Reorder the terms: 2(1 + x) + 3x + 1 = 4(x + 2) (1 * 2 + x * 2) + 3x + 1 = 4(x + 2) (2 + 2x) + 3x + 1 = 4(x + 2) Reorder the terms: 2 + 1 + 2x + 3x = 4(x + 2) Combine like terms: 2 + 1 = 3 3 + 2x + 3x = 4(x + 2) Combine like terms: 2x + 3x = 5x 3 + 5x = 4(x + 2) Reorder the terms: 3 + 5x = 4(2 + x) 3 + 5x = (2 * 4 + x * 4) 3 + 5x = (8 + 4x) Solving 3 + 5x = 8 + 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. 3 + 5x + -4x = 8 + 4x + -4x Combine like terms: 5x + -4x = 1x 3 + 1x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 1x = 8 + 0 3 + 1x = 8 Add '-3' to each side of the equation. 3 + -3 + 1x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 8 + -3 1x = 8 + -3 Combine like terms: 8 + -3 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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