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Simplifying 6.5x + -17.4 + 4.5x = 5.4 + 12x Reorder the terms: -17.4 + 6.5x + 4.5x = 5.4 + 12x Combine like terms: 6.5x + 4.5x = 11x -17.4 + 11x = 5.4 + 12x Solving -17.4 + 11x = 5.4 + 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. -17.4 + 11x + -12x = 5.4 + 12x + -12x Combine like terms: 11x + -12x = -1x -17.4 + -1x = 5.4 + 12x + -12x Combine like terms: 12x + -12x = 0 -17.4 + -1x = 5.4 + 0 -17.4 + -1x = 5.4 Add '17.4' to each side of the equation. -17.4 + 17.4 + -1x = 5.4 + 17.4 Combine like terms: -17.4 + 17.4 = 0.0 0.0 + -1x = 5.4 + 17.4 -1x = 5.4 + 17.4 Combine like terms: 5.4 + 17.4 = 22.8 -1x = 22.8 Divide each side by '-1'. x = -22.8 Simplifying x = -22.8
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