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Simplifying 4x + x + 2x + (3x + 2) + (x + -1) = 23 Reorder the terms: 4x + x + 2x + (2 + 3x) + (x + -1) = 23 Remove parenthesis around (2 + 3x) 4x + x + 2x + 2 + 3x + (x + -1) = 23 Reorder the terms: 4x + x + 2x + 2 + 3x + (-1 + x) = 23 Remove parenthesis around (-1 + x) 4x + x + 2x + 2 + 3x + -1 + x = 23 Reorder the terms: 2 + -1 + 4x + x + 2x + 3x + x = 23 Combine like terms: 2 + -1 = 1 1 + 4x + x + 2x + 3x + x = 23 Combine like terms: 4x + x = 5x 1 + 5x + 2x + 3x + x = 23 Combine like terms: 5x + 2x = 7x 1 + 7x + 3x + x = 23 Combine like terms: 7x + 3x = 10x 1 + 10x + x = 23 Combine like terms: 10x + x = 11x 1 + 11x = 23 Solving 1 + 11x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 11x = 23 + -1 Combine like terms: 1 + -1 = 0 0 + 11x = 23 + -1 11x = 23 + -1 Combine like terms: 23 + -1 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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