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Simplifying 0.2x + 2.7x + -8.1 = 6.9 + 1.1x Reorder the terms: -8.1 + 0.2x + 2.7x = 6.9 + 1.1x Combine like terms: 0.2x + 2.7x = 2.9x -8.1 + 2.9x = 6.9 + 1.1x Solving -8.1 + 2.9x = 6.9 + 1.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.1x' to each side of the equation. -8.1 + 2.9x + -1.1x = 6.9 + 1.1x + -1.1x Combine like terms: 2.9x + -1.1x = 1.8x -8.1 + 1.8x = 6.9 + 1.1x + -1.1x Combine like terms: 1.1x + -1.1x = 0.0 -8.1 + 1.8x = 6.9 + 0.0 -8.1 + 1.8x = 6.9 Add '8.1' to each side of the equation. -8.1 + 8.1 + 1.8x = 6.9 + 8.1 Combine like terms: -8.1 + 8.1 = 0.0 0.0 + 1.8x = 6.9 + 8.1 1.8x = 6.9 + 8.1 Combine like terms: 6.9 + 8.1 = 15 1.8x = 15 Divide each side by '1.8'. x = 8.333333333 Simplifying x = 8.333333333
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