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Simplifying 5.1x + -5.5 + 7x = 7.1x + -17.5 Reorder the terms: -5.5 + 5.1x + 7x = 7.1x + -17.5 Combine like terms: 5.1x + 7x = 12.1x -5.5 + 12.1x = 7.1x + -17.5 Reorder the terms: -5.5 + 12.1x = -17.5 + 7.1x Solving -5.5 + 12.1x = -17.5 + 7.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.1x' to each side of the equation. -5.5 + 12.1x + -7.1x = -17.5 + 7.1x + -7.1x Combine like terms: 12.1x + -7.1x = 5x -5.5 + 5x = -17.5 + 7.1x + -7.1x Combine like terms: 7.1x + -7.1x = 0.0 -5.5 + 5x = -17.5 + 0.0 -5.5 + 5x = -17.5 Add '5.5' to each side of the equation. -5.5 + 5.5 + 5x = -17.5 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + 5x = -17.5 + 5.5 5x = -17.5 + 5.5 Combine like terms: -17.5 + 5.5 = -12 5x = -12 Divide each side by '5'. x = -2.4 Simplifying x = -2.4
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