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Simplifying 17 + 2x + -3x = 8x + 3x + 44 Combine like terms: 2x + -3x = -1x 17 + -1x = 8x + 3x + 44 Reorder the terms: 17 + -1x = 44 + 8x + 3x Combine like terms: 8x + 3x = 11x 17 + -1x = 44 + 11x Solving 17 + -1x = 44 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 17 + -1x + -11x = 44 + 11x + -11x Combine like terms: -1x + -11x = -12x 17 + -12x = 44 + 11x + -11x Combine like terms: 11x + -11x = 0 17 + -12x = 44 + 0 17 + -12x = 44 Add '-17' to each side of the equation. 17 + -17 + -12x = 44 + -17 Combine like terms: 17 + -17 = 0 0 + -12x = 44 + -17 -12x = 44 + -17 Combine like terms: 44 + -17 = 27 -12x = 27 Divide each side by '-12'. x = -2.25 Simplifying x = -2.25
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