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Simplifying (3x + -2) + -7 = 5x + 2 Reorder the terms: (-2 + 3x) + -7 = 5x + 2 Remove parenthesis around (-2 + 3x) -2 + 3x + -7 = 5x + 2 Reorder the terms: -2 + -7 + 3x = 5x + 2 Combine like terms: -2 + -7 = -9 -9 + 3x = 5x + 2 Reorder the terms: -9 + 3x = 2 + 5x Solving -9 + 3x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9 + 3x + -5x = 2 + 5x + -5x Combine like terms: 3x + -5x = -2x -9 + -2x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + -2x = 2 + 0 -9 + -2x = 2 Add '9' to each side of the equation. -9 + 9 + -2x = 2 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 2 + 9 -2x = 2 + 9 Combine like terms: 2 + 9 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5
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