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Simplifying (3x + 2) + (5x + -8) = 162 Reorder the terms: (2 + 3x) + (5x + -8) = 162 Remove parenthesis around (2 + 3x) 2 + 3x + (5x + -8) = 162 Reorder the terms: 2 + 3x + (-8 + 5x) = 162 Remove parenthesis around (-8 + 5x) 2 + 3x + -8 + 5x = 162 Reorder the terms: 2 + -8 + 3x + 5x = 162 Combine like terms: 2 + -8 = -6 -6 + 3x + 5x = 162 Combine like terms: 3x + 5x = 8x -6 + 8x = 162 Solving -6 + 8x = 162 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 8x = 162 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 162 + 6 8x = 162 + 6 Combine like terms: 162 + 6 = 168 8x = 168 Divide each side by '8'. x = 21 Simplifying x = 21
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