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Simplifying 0.2x + 0.8 = 0.9x + -5.5 Reorder the terms: 0.8 + 0.2x = 0.9x + -5.5 Reorder the terms: 0.8 + 0.2x = -5.5 + 0.9x Solving 0.8 + 0.2x = -5.5 + 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. 0.8 + 0.2x + -0.9x = -5.5 + 0.9x + -0.9x Combine like terms: 0.2x + -0.9x = -0.7x 0.8 + -0.7x = -5.5 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 0.8 + -0.7x = -5.5 + 0.0 0.8 + -0.7x = -5.5 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -0.7x = -5.5 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.7x = -5.5 + -0.8 -0.7x = -5.5 + -0.8 Combine like terms: -5.5 + -0.8 = -6.3 -0.7x = -6.3 Divide each side by '-0.7'. x = 9 Simplifying x = 9
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