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