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Simplifying (2x + -1) + (x + 17) + (4x + -15) = 106 Reorder the terms: (-1 + 2x) + (x + 17) + (4x + -15) = 106 Remove parenthesis around (-1 + 2x) -1 + 2x + (x + 17) + (4x + -15) = 106 Reorder the terms: -1 + 2x + (17 + x) + (4x + -15) = 106 Remove parenthesis around (17 + x) -1 + 2x + 17 + x + (4x + -15) = 106 Reorder the terms: -1 + 2x + 17 + x + (-15 + 4x) = 106 Remove parenthesis around (-15 + 4x) -1 + 2x + 17 + x + -15 + 4x = 106 Reorder the terms: -1 + 17 + -15 + 2x + x + 4x = 106 Combine like terms: -1 + 17 = 16 16 + -15 + 2x + x + 4x = 106 Combine like terms: 16 + -15 = 1 1 + 2x + x + 4x = 106 Combine like terms: 2x + x = 3x 1 + 3x + 4x = 106 Combine like terms: 3x + 4x = 7x 1 + 7x = 106 Solving 1 + 7x = 106 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7x = 106 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 106 + -1 7x = 106 + -1 Combine like terms: 106 + -1 = 105 7x = 105 Divide each side by '7'. x = 15 Simplifying x = 15
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