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Simplifying (3x + 1) = (5x + -2) + 7 Reorder the terms: (1 + 3x) = (5x + -2) + 7 Remove parenthesis around (1 + 3x) 1 + 3x = (5x + -2) + 7 Reorder the terms: 1 + 3x = (-2 + 5x) + 7 Remove parenthesis around (-2 + 5x) 1 + 3x = -2 + 5x + 7 Reorder the terms: 1 + 3x = -2 + 7 + 5x Combine like terms: -2 + 7 = 5 1 + 3x = 5 + 5x Solving 1 + 3x = 5 + 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. 1 + 3x + -5x = 5 + 5x + -5x Combine like terms: 3x + -5x = -2x 1 + -2x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -2x = 5 + 0 1 + -2x = 5 Add '-1' to each side of the equation. 1 + -1 + -2x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 5 + -1 -2x = 5 + -1 Combine like terms: 5 + -1 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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