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Simplifying (3x + 24) + -1(-2x + -7) = 2 Reorder the terms: (24 + 3x) + -1(-2x + -7) = 2 Remove parenthesis around (24 + 3x) 24 + 3x + -1(-2x + -7) = 2 Reorder the terms: 24 + 3x + -1(-7 + -2x) = 2 24 + 3x + (-7 * -1 + -2x * -1) = 2 24 + 3x + (7 + 2x) = 2 Reorder the terms: 24 + 7 + 3x + 2x = 2 Combine like terms: 24 + 7 = 31 31 + 3x + 2x = 2 Combine like terms: 3x + 2x = 5x 31 + 5x = 2 Solving 31 + 5x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 5x = 2 + -31 Combine like terms: 31 + -31 = 0 0 + 5x = 2 + -31 5x = 2 + -31 Combine like terms: 2 + -31 = -29 5x = -29 Divide each side by '5'. x = -5.8 Simplifying x = -5.8
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