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Simplifying x + -0.1x + 0.9 = 0.2x + 0.2 Reorder the terms: 0.9 + x + -0.1x = 0.2x + 0.2 Combine like terms: x + -0.1x = 0.9x 0.9 + 0.9x = 0.2x + 0.2 Reorder the terms: 0.9 + 0.9x = 0.2 + 0.2x Solving 0.9 + 0.9x = 0.2 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 0.9 + 0.9x + -0.2x = 0.2 + 0.2x + -0.2x Combine like terms: 0.9x + -0.2x = 0.7x 0.9 + 0.7x = 0.2 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.9 + 0.7x = 0.2 + 0.0 0.9 + 0.7x = 0.2 Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.7x = 0.2 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.7x = 0.2 + -0.9 0.7x = 0.2 + -0.9 Combine like terms: 0.2 + -0.9 = -0.7 0.7x = -0.7 Divide each side by '0.7'. x = -1 Simplifying x = -1
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