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Simplifying 0.5 + 0.2 = 0.9x + -2.2 Combine like terms: 0.5 + 0.2 = 0.7 0.7 = 0.9x + -2.2 Reorder the terms: 0.7 = -2.2 + 0.9x Solving 0.7 = -2.2 + 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. 0.7 + -0.9x = -2.2 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 0.7 + -0.9x = -2.2 + 0.0 0.7 + -0.9x = -2.2 Add '-0.7' to each side of the equation. 0.7 + -0.7 + -0.9x = -2.2 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -0.9x = -2.2 + -0.7 -0.9x = -2.2 + -0.7 Combine like terms: -2.2 + -0.7 = -2.9 -0.9x = -2.9 Divide each side by '-0.9'. x = 3.222222222 Simplifying x = 3.222222222
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