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Simplifying 3(x + 2) + (2x + -1) = x + 5 Reorder the terms: 3(2 + x) + (2x + -1) = x + 5 (2 * 3 + x * 3) + (2x + -1) = x + 5 (6 + 3x) + (2x + -1) = x + 5 Reorder the terms: 6 + 3x + (-1 + 2x) = x + 5 Remove parenthesis around (-1 + 2x) 6 + 3x + -1 + 2x = x + 5 Reorder the terms: 6 + -1 + 3x + 2x = x + 5 Combine like terms: 6 + -1 = 5 5 + 3x + 2x = x + 5 Combine like terms: 3x + 2x = 5x 5 + 5x = x + 5 Reorder the terms: 5 + 5x = 5 + x Add '-5' to each side of the equation. 5 + -5 + 5x = 5 + -5 + x Combine like terms: 5 + -5 = 0 0 + 5x = 5 + -5 + x 5x = 5 + -5 + x Combine like terms: 5 + -5 = 0 5x = 0 + x 5x = x Solving 5x = x 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. 5x + -1x = x + -1x Combine like terms: 5x + -1x = 4x 4x = x + -1x Combine like terms: x + -1x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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