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Simplifying 2 + 0.8x + -5 = 0.9x + 2.1 Reorder the terms: 2 + -5 + 0.8x = 0.9x + 2.1 Combine like terms: 2 + -5 = -3 -3 + 0.8x = 0.9x + 2.1 Reorder the terms: -3 + 0.8x = 2.1 + 0.9x Solving -3 + 0.8x = 2.1 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. -3 + 0.8x + -0.9x = 2.1 + 0.9x + -0.9x Combine like terms: 0.8x + -0.9x = -0.1x -3 + -0.1x = 2.1 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 -3 + -0.1x = 2.1 + 0.0 -3 + -0.1x = 2.1 Add '3' to each side of the equation. -3 + 3 + -0.1x = 2.1 + 3 Combine like terms: -3 + 3 = 0 0 + -0.1x = 2.1 + 3 -0.1x = 2.1 + 3 Combine like terms: 2.1 + 3 = 5.1 -0.1x = 5.1 Divide each side by '-0.1'. x = -51 Simplifying x = -51
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