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Simplifying 0.5x + 5 = 0.9x Reorder the terms: 5 + 0.5x = 0.9x Solving 5 + 0.5x = 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. 5 + 0.5x + -0.9x = 0.9x + -0.9x Combine like terms: 0.5x + -0.9x = -0.4x 5 + -0.4x = 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 5 + -0.4x = 0.0 Add '-5' to each side of the equation. 5 + -5 + -0.4x = 0.0 + -5 Combine like terms: 5 + -5 = 0 0 + -0.4x = 0.0 + -5 -0.4x = 0.0 + -5 Combine like terms: 0.0 + -5 = -5 -0.4x = -5 Divide each side by '-0.4'. x = 12.5 Simplifying x = 12.5
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