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Simplifying 3x + 17 = 12x + -5.5 Reorder the terms: 17 + 3x = 12x + -5.5 Reorder the terms: 17 + 3x = -5.5 + 12x Solving 17 + 3x = -5.5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 17 + 3x + -12x = -5.5 + 12x + -12x Combine like terms: 3x + -12x = -9x 17 + -9x = -5.5 + 12x + -12x Combine like terms: 12x + -12x = 0 17 + -9x = -5.5 + 0 17 + -9x = -5.5 Add '-17' to each side of the equation. 17 + -17 + -9x = -5.5 + -17 Combine like terms: 17 + -17 = 0 0 + -9x = -5.5 + -17 -9x = -5.5 + -17 Combine like terms: -5.5 + -17 = -22.5 -9x = -22.5 Divide each side by '-9'. x = 2.5 Simplifying x = 2.5
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