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Simplifying 1.2 + 0.1x = 0.5x + -8.8 Reorder the terms: 1.2 + 0.1x = -8.8 + 0.5x Solving 1.2 + 0.1x = -8.8 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 1.2 + 0.1x + -0.5x = -8.8 + 0.5x + -0.5x Combine like terms: 0.1x + -0.5x = -0.4x 1.2 + -0.4x = -8.8 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 1.2 + -0.4x = -8.8 + 0.0 1.2 + -0.4x = -8.8 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -0.4x = -8.8 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -0.4x = -8.8 + -1.2 -0.4x = -8.8 + -1.2 Combine like terms: -8.8 + -1.2 = -10 -0.4x = -10 Divide each side by '-0.4'. x = 25 Simplifying x = 25
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