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Simplifying 6.4x + -17.2 + 4.6x = 6.3 + 12x Reorder the terms: -17.2 + 6.4x + 4.6x = 6.3 + 12x Combine like terms: 6.4x + 4.6x = 11x -17.2 + 11x = 6.3 + 12x Solving -17.2 + 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. -17.2 + 11x + -12x = 6.3 + 12x + -12x Combine like terms: 11x + -12x = -1x -17.2 + -1x = 6.3 + 12x + -12x Combine like terms: 12x + -12x = 0 -17.2 + -1x = 6.3 + 0 -17.2 + -1x = 6.3 Add '17.2' to each side of the equation. -17.2 + 17.2 + -1x = 6.3 + 17.2 Combine like terms: -17.2 + 17.2 = 0.0 0.0 + -1x = 6.3 + 17.2 -1x = 6.3 + 17.2 Combine like terms: 6.3 + 17.2 = 23.5 -1x = 23.5 Divide each side by '-1'. x = -23.5 Simplifying x = -23.5
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