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Simplifying 3x + 11 + -4x + -14 + 5x + 11 + -6x = 17 Reorder the terms: 11 + -14 + 11 + 3x + -4x + 5x + -6x = 17 Combine like terms: 11 + -14 = -3 -3 + 11 + 3x + -4x + 5x + -6x = 17 Combine like terms: -3 + 11 = 8 8 + 3x + -4x + 5x + -6x = 17 Combine like terms: 3x + -4x = -1x 8 + -1x + 5x + -6x = 17 Combine like terms: -1x + 5x = 4x 8 + 4x + -6x = 17 Combine like terms: 4x + -6x = -2x 8 + -2x = 17 Solving 8 + -2x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -2x = 17 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 17 + -8 -2x = 17 + -8 Combine like terms: 17 + -8 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5
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