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Simplifying (4x + 37) + -1(2x + 13) = 106 Reorder the terms: (37 + 4x) + -1(2x + 13) = 106 Remove parenthesis around (37 + 4x) 37 + 4x + -1(2x + 13) = 106 Reorder the terms: 37 + 4x + -1(13 + 2x) = 106 37 + 4x + (13 * -1 + 2x * -1) = 106 37 + 4x + (-13 + -2x) = 106 Reorder the terms: 37 + -13 + 4x + -2x = 106 Combine like terms: 37 + -13 = 24 24 + 4x + -2x = 106 Combine like terms: 4x + -2x = 2x 24 + 2x = 106 Solving 24 + 2x = 106 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 2x = 106 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 106 + -24 2x = 106 + -24 Combine like terms: 106 + -24 = 82 2x = 82 Divide each side by '2'. x = 41 Simplifying x = 41
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