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Simplifying 5.2x + -6.1 + 9x = 9.2x + -28.6 Reorder the terms: -6.1 + 5.2x + 9x = 9.2x + -28.6 Combine like terms: 5.2x + 9x = 14.2x -6.1 + 14.2x = 9.2x + -28.6 Reorder the terms: -6.1 + 14.2x = -28.6 + 9.2x Solving -6.1 + 14.2x = -28.6 + 9.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.2x' to each side of the equation. -6.1 + 14.2x + -9.2x = -28.6 + 9.2x + -9.2x Combine like terms: 14.2x + -9.2x = 5x -6.1 + 5x = -28.6 + 9.2x + -9.2x Combine like terms: 9.2x + -9.2x = 0.0 -6.1 + 5x = -28.6 + 0.0 -6.1 + 5x = -28.6 Add '6.1' to each side of the equation. -6.1 + 6.1 + 5x = -28.6 + 6.1 Combine like terms: -6.1 + 6.1 = 0.0 0.0 + 5x = -28.6 + 6.1 5x = -28.6 + 6.1 Combine like terms: -28.6 + 6.1 = -22.5 5x = -22.5 Divide each side by '5'. x = -4.5 Simplifying x = -4.5
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