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Simplifying (5x + 7) + -1(3x + -1) = 22 Reorder the terms: (7 + 5x) + -1(3x + -1) = 22 Remove parenthesis around (7 + 5x) 7 + 5x + -1(3x + -1) = 22 Reorder the terms: 7 + 5x + -1(-1 + 3x) = 22 7 + 5x + (-1 * -1 + 3x * -1) = 22 7 + 5x + (1 + -3x) = 22 Reorder the terms: 7 + 1 + 5x + -3x = 22 Combine like terms: 7 + 1 = 8 8 + 5x + -3x = 22 Combine like terms: 5x + -3x = 2x 8 + 2x = 22 Solving 8 + 2x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2x = 22 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 22 + -8 2x = 22 + -8 Combine like terms: 22 + -8 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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