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Simplifying x + 6 + 11 = 2x + 5 Reorder the terms: 6 + 11 + x = 2x + 5 Combine like terms: 6 + 11 = 17 17 + x = 2x + 5 Reorder the terms: 17 + x = 5 + 2x Solving 17 + x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 17 + x + -2x = 5 + 2x + -2x Combine like terms: x + -2x = -1x 17 + -1x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + -1x = 5 + 0 17 + -1x = 5 Add '-17' to each side of the equation. 17 + -17 + -1x = 5 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 5 + -17 -1x = 5 + -17 Combine like terms: 5 + -17 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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