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Simplifying 2.1x + -1.8 + 2x = 8.2 + -4.9x + 8 Reorder the terms: -1.8 + 2.1x + 2x = 8.2 + -4.9x + 8 Combine like terms: 2.1x + 2x = 4.1x -1.8 + 4.1x = 8.2 + -4.9x + 8 Reorder the terms: -1.8 + 4.1x = 8.2 + 8 + -4.9x Combine like terms: 8.2 + 8 = 16.2 -1.8 + 4.1x = 16.2 + -4.9x Solving -1.8 + 4.1x = 16.2 + -4.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.9x' to each side of the equation. -1.8 + 4.1x + 4.9x = 16.2 + -4.9x + 4.9x Combine like terms: 4.1x + 4.9x = 9x -1.8 + 9x = 16.2 + -4.9x + 4.9x Combine like terms: -4.9x + 4.9x = 0.0 -1.8 + 9x = 16.2 + 0.0 -1.8 + 9x = 16.2 Add '1.8' to each side of the equation. -1.8 + 1.8 + 9x = 16.2 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 9x = 16.2 + 1.8 9x = 16.2 + 1.8 Combine like terms: 16.2 + 1.8 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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