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Simplifying 103 = (2x + -1) + (3x + 2) Reorder the terms: 103 = (-1 + 2x) + (3x + 2) Remove parenthesis around (-1 + 2x) 103 = -1 + 2x + (3x + 2) Reorder the terms: 103 = -1 + 2x + (2 + 3x) Remove parenthesis around (2 + 3x) 103 = -1 + 2x + 2 + 3x Reorder the terms: 103 = -1 + 2 + 2x + 3x Combine like terms: -1 + 2 = 1 103 = 1 + 2x + 3x Combine like terms: 2x + 3x = 5x 103 = 1 + 5x Solving 103 = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 103 + -5x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 103 + -5x = 1 + 0 103 + -5x = 1 Add '-103' to each side of the equation. 103 + -103 + -5x = 1 + -103 Combine like terms: 103 + -103 = 0 0 + -5x = 1 + -103 -5x = 1 + -103 Combine like terms: 1 + -103 = -102 -5x = -102 Divide each side by '-5'. x = 20.4 Simplifying x = 20.4
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