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Simplifying (3x + 5) + (2x + -7) = 153 Reorder the terms: (5 + 3x) + (2x + -7) = 153 Remove parenthesis around (5 + 3x) 5 + 3x + (2x + -7) = 153 Reorder the terms: 5 + 3x + (-7 + 2x) = 153 Remove parenthesis around (-7 + 2x) 5 + 3x + -7 + 2x = 153 Reorder the terms: 5 + -7 + 3x + 2x = 153 Combine like terms: 5 + -7 = -2 -2 + 3x + 2x = 153 Combine like terms: 3x + 2x = 5x -2 + 5x = 153 Solving -2 + 5x = 153 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5x = 153 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 153 + 2 5x = 153 + 2 Combine like terms: 153 + 2 = 155 5x = 155 Divide each side by '5'. x = 31 Simplifying x = 31
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