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Simplifying 10x + -9.4 = 2x + 12.8 Reorder the terms: -9.4 + 10x = 2x + 12.8 Reorder the terms: -9.4 + 10x = 12.8 + 2x Solving -9.4 + 10x = 12.8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9.4 + 10x + -2x = 12.8 + 2x + -2x Combine like terms: 10x + -2x = 8x -9.4 + 8x = 12.8 + 2x + -2x Combine like terms: 2x + -2x = 0 -9.4 + 8x = 12.8 + 0 -9.4 + 8x = 12.8 Add '9.4' to each side of the equation. -9.4 + 9.4 + 8x = 12.8 + 9.4 Combine like terms: -9.4 + 9.4 = 0.0 0.0 + 8x = 12.8 + 9.4 8x = 12.8 + 9.4 Combine like terms: 12.8 + 9.4 = 22.2 8x = 22.2 Divide each side by '8'. x = 2.775 Simplifying x = 2.775
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