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Simplifying 0.1 + -2x + 0.8 = 2x + -0.9 Reorder the terms: 0.1 + 0.8 + -2x = 2x + -0.9 Combine like terms: 0.1 + 0.8 = 0.9 0.9 + -2x = 2x + -0.9 Reorder the terms: 0.9 + -2x = -0.9 + 2x Solving 0.9 + -2x = -0.9 + 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. 0.9 + -2x + -2x = -0.9 + 2x + -2x Combine like terms: -2x + -2x = -4x 0.9 + -4x = -0.9 + 2x + -2x Combine like terms: 2x + -2x = 0 0.9 + -4x = -0.9 + 0 0.9 + -4x = -0.9 Add '-0.9' to each side of the equation. 0.9 + -0.9 + -4x = -0.9 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -4x = -0.9 + -0.9 -4x = -0.9 + -0.9 Combine like terms: -0.9 + -0.9 = -1.8 -4x = -1.8 Divide each side by '-4'. x = 0.45 Simplifying x = 0.45
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