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Simplifying 3x + -17 = (x + -6) + 11 Reorder the terms: -17 + 3x = (x + -6) + 11 Reorder the terms: -17 + 3x = (-6 + x) + 11 Remove parenthesis around (-6 + x) -17 + 3x = -6 + x + 11 Reorder the terms: -17 + 3x = -6 + 11 + x Combine like terms: -6 + 11 = 5 -17 + 3x = 5 + x Solving -17 + 3x = 5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -17 + 3x + -1x = 5 + x + -1x Combine like terms: 3x + -1x = 2x -17 + 2x = 5 + x + -1x Combine like terms: x + -1x = 0 -17 + 2x = 5 + 0 -17 + 2x = 5 Add '17' to each side of the equation. -17 + 17 + 2x = 5 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = 5 + 17 2x = 5 + 17 Combine like terms: 5 + 17 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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