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Simplifying (3x + 2) + (2x + -7) = 150 Reorder the terms: (2 + 3x) + (2x + -7) = 150 Remove parenthesis around (2 + 3x) 2 + 3x + (2x + -7) = 150 Reorder the terms: 2 + 3x + (-7 + 2x) = 150 Remove parenthesis around (-7 + 2x) 2 + 3x + -7 + 2x = 150 Reorder the terms: 2 + -7 + 3x + 2x = 150 Combine like terms: 2 + -7 = -5 -5 + 3x + 2x = 150 Combine like terms: 3x + 2x = 5x -5 + 5x = 150 Solving -5 + 5x = 150 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 5x = 150 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 150 + 5 5x = 150 + 5 Combine like terms: 150 + 5 = 155 5x = 155 Divide each side by '5'. x = 31 Simplifying x = 31
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