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Simplifying 0.08x + 28.3 = 0.5x + -9.5 Reorder the terms: 28.3 + 0.08x = 0.5x + -9.5 Reorder the terms: 28.3 + 0.08x = -9.5 + 0.5x Solving 28.3 + 0.08x = -9.5 + 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. 28.3 + 0.08x + -0.5x = -9.5 + 0.5x + -0.5x Combine like terms: 0.08x + -0.5x = -0.42x 28.3 + -0.42x = -9.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 28.3 + -0.42x = -9.5 + 0.0 28.3 + -0.42x = -9.5 Add '-28.3' to each side of the equation. 28.3 + -28.3 + -0.42x = -9.5 + -28.3 Combine like terms: 28.3 + -28.3 = 0.0 0.0 + -0.42x = -9.5 + -28.3 -0.42x = -9.5 + -28.3 Combine like terms: -9.5 + -28.3 = -37.8 -0.42x = -37.8 Divide each side by '-0.42'. x = 90 Simplifying x = 90
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