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Simplifying (3x + 9) + (-5x + -7) = 45 Reorder the terms: (9 + 3x) + (-5x + -7) = 45 Remove parenthesis around (9 + 3x) 9 + 3x + (-5x + -7) = 45 Reorder the terms: 9 + 3x + (-7 + -5x) = 45 Remove parenthesis around (-7 + -5x) 9 + 3x + -7 + -5x = 45 Reorder the terms: 9 + -7 + 3x + -5x = 45 Combine like terms: 9 + -7 = 2 2 + 3x + -5x = 45 Combine like terms: 3x + -5x = -2x 2 + -2x = 45 Solving 2 + -2x = 45 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 + -2x = 45 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 45 + -2 -2x = 45 + -2 Combine like terms: 45 + -2 = 43 -2x = 43 Divide each side by '-2'. x = -21.5 Simplifying x = -21.5
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