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Simplifying (3x + 2) + (2x + 1) = 46cm Reorder the terms: (2 + 3x) + (2x + 1) = 46cm Remove parenthesis around (2 + 3x) 2 + 3x + (2x + 1) = 46cm Reorder the terms: 2 + 3x + (1 + 2x) = 46cm Remove parenthesis around (1 + 2x) 2 + 3x + 1 + 2x = 46cm Reorder the terms: 2 + 1 + 3x + 2x = 46cm Combine like terms: 2 + 1 = 3 3 + 3x + 2x = 46cm Combine like terms: 3x + 2x = 5x 3 + 5x = 46cm Solving 3 + 5x = 46cm Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x = -3 + 46cm Combine like terms: 3 + -3 = 0 0 + 5x = -3 + 46cm 5x = -3 + 46cm Divide each side by '5'. x = -0.6 + 9.2cm Simplifying x = -0.6 + 9.2cm
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