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Simplifying 11x + -5 + -1x + 6 = 2x + 17 Reorder the terms: -5 + 6 + 11x + -1x = 2x + 17 Combine like terms: -5 + 6 = 1 1 + 11x + -1x = 2x + 17 Combine like terms: 11x + -1x = 10x 1 + 10x = 2x + 17 Reorder the terms: 1 + 10x = 17 + 2x Solving 1 + 10x = 17 + 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. 1 + 10x + -2x = 17 + 2x + -2x Combine like terms: 10x + -2x = 8x 1 + 8x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 8x = 17 + 0 1 + 8x = 17 Add '-1' to each side of the equation. 1 + -1 + 8x = 17 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 17 + -1 8x = 17 + -1 Combine like terms: 17 + -1 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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