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Simplifying 17 + -6x + -11 + 4x + -2 + 4x + -12 = 2x + 11x + -6 + -5x + -3x + 5 Reorder the terms: 17 + -11 + -2 + -12 + -6x + 4x + 4x = 2x + 11x + -6 + -5x + -3x + 5 Combine like terms: 17 + -11 = 6 6 + -2 + -12 + -6x + 4x + 4x = 2x + 11x + -6 + -5x + -3x + 5 Combine like terms: 6 + -2 = 4 4 + -12 + -6x + 4x + 4x = 2x + 11x + -6 + -5x + -3x + 5 Combine like terms: 4 + -12 = -8 -8 + -6x + 4x + 4x = 2x + 11x + -6 + -5x + -3x + 5 Combine like terms: -6x + 4x = -2x -8 + -2x + 4x = 2x + 11x + -6 + -5x + -3x + 5 Combine like terms: -2x + 4x = 2x -8 + 2x = 2x + 11x + -6 + -5x + -3x + 5 Reorder the terms: -8 + 2x = -6 + 5 + 2x + 11x + -5x + -3x Combine like terms: -6 + 5 = -1 -8 + 2x = -1 + 2x + 11x + -5x + -3x Combine like terms: 2x + 11x = 13x -8 + 2x = -1 + 13x + -5x + -3x Combine like terms: 13x + -5x = 8x -8 + 2x = -1 + 8x + -3x Combine like terms: 8x + -3x = 5x -8 + 2x = -1 + 5x Solving -8 + 2x = -1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + 2x + -5x = -1 + 5x + -5x Combine like terms: 2x + -5x = -3x -8 + -3x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -3x = -1 + 0 -8 + -3x = -1 Add '8' to each side of the equation. -8 + 8 + -3x = -1 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = -1 + 8 -3x = -1 + 8 Combine like terms: -1 + 8 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333
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