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Simplifying (3x + 2) + (2x + 5) = (2x + -9) Reorder the terms: (2 + 3x) + (2x + 5) = (2x + -9) Remove parenthesis around (2 + 3x) 2 + 3x + (2x + 5) = (2x + -9) Reorder the terms: 2 + 3x + (5 + 2x) = (2x + -9) Remove parenthesis around (5 + 2x) 2 + 3x + 5 + 2x = (2x + -9) Reorder the terms: 2 + 5 + 3x + 2x = (2x + -9) Combine like terms: 2 + 5 = 7 7 + 3x + 2x = (2x + -9) Combine like terms: 3x + 2x = 5x 7 + 5x = (2x + -9) Reorder the terms: 7 + 5x = (-9 + 2x) Remove parenthesis around (-9 + 2x) 7 + 5x = -9 + 2x Solving 7 + 5x = -9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + 5x + -2x = -9 + 2x + -2x Combine like terms: 5x + -2x = 3x 7 + 3x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 3x = -9 + 0 7 + 3x = -9 Add '-7' to each side of the equation. 7 + -7 + 3x = -9 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = -9 + -7 3x = -9 + -7 Combine like terms: -9 + -7 = -16 3x = -16 Divide each side by '3'. x = -5.333333333 Simplifying x = -5.333333333
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