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Simplifying 6.9x + -17.1 + 4.1x = 6.3 + 12x Reorder the terms: -17.1 + 6.9x + 4.1x = 6.3 + 12x Combine like terms: 6.9x + 4.1x = 11x -17.1 + 11x = 6.3 + 12x Solving -17.1 + 11x = 6.3 + 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. -17.1 + 11x + -12x = 6.3 + 12x + -12x Combine like terms: 11x + -12x = -1x -17.1 + -1x = 6.3 + 12x + -12x Combine like terms: 12x + -12x = 0 -17.1 + -1x = 6.3 + 0 -17.1 + -1x = 6.3 Add '17.1' to each side of the equation. -17.1 + 17.1 + -1x = 6.3 + 17.1 Combine like terms: -17.1 + 17.1 = 0.0 0.0 + -1x = 6.3 + 17.1 -1x = 6.3 + 17.1 Combine like terms: 6.3 + 17.1 = 23.4 -1x = 23.4 Divide each side by '-1'. x = -23.4 Simplifying x = -23.4
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