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Simplifying 8x + -20x + 17 = 4x + -10x + -14 Reorder the terms: 17 + 8x + -20x = 4x + -10x + -14 Combine like terms: 8x + -20x = -12x 17 + -12x = 4x + -10x + -14 Reorder the terms: 17 + -12x = -14 + 4x + -10x Combine like terms: 4x + -10x = -6x 17 + -12x = -14 + -6x Solving 17 + -12x = -14 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 17 + -12x + 6x = -14 + -6x + 6x Combine like terms: -12x + 6x = -6x 17 + -6x = -14 + -6x + 6x Combine like terms: -6x + 6x = 0 17 + -6x = -14 + 0 17 + -6x = -14 Add '-17' to each side of the equation. 17 + -17 + -6x = -14 + -17 Combine like terms: 17 + -17 = 0 0 + -6x = -14 + -17 -6x = -14 + -17 Combine like terms: -14 + -17 = -31 -6x = -31 Divide each side by '-6'. x = 5.166666667 Simplifying x = 5.166666667
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