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Simplifying 3x + -14 + 8x + 5 = 17 + -2x + -6 + x Reorder the terms: -14 + 5 + 3x + 8x = 17 + -2x + -6 + x Combine like terms: -14 + 5 = -9 -9 + 3x + 8x = 17 + -2x + -6 + x Combine like terms: 3x + 8x = 11x -9 + 11x = 17 + -2x + -6 + x Reorder the terms: -9 + 11x = 17 + -6 + -2x + x Combine like terms: 17 + -6 = 11 -9 + 11x = 11 + -2x + x Combine like terms: -2x + x = -1x -9 + 11x = 11 + -1x Solving -9 + 11x = 11 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -9 + 11x + x = 11 + -1x + x Combine like terms: 11x + x = 12x -9 + 12x = 11 + -1x + x Combine like terms: -1x + x = 0 -9 + 12x = 11 + 0 -9 + 12x = 11 Add '9' to each side of the equation. -9 + 9 + 12x = 11 + 9 Combine like terms: -9 + 9 = 0 0 + 12x = 11 + 9 12x = 11 + 9 Combine like terms: 11 + 9 = 20 12x = 20 Divide each side by '12'. x = 1.666666667 Simplifying x = 1.666666667
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