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Simplifying 0.1x + 50 = 0.9x Reorder the terms: 50 + 0.1x = 0.9x Solving 50 + 0.1x = 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. 50 + 0.1x + -0.9x = 0.9x + -0.9x Combine like terms: 0.1x + -0.9x = -0.8x 50 + -0.8x = 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 50 + -0.8x = 0.0 Add '-50' to each side of the equation. 50 + -50 + -0.8x = 0.0 + -50 Combine like terms: 50 + -50 = 0 0 + -0.8x = 0.0 + -50 -0.8x = 0.0 + -50 Combine like terms: 0.0 + -50 = -50 -0.8x = -50 Divide each side by '-0.8'. x = 62.5 Simplifying x = 62.5
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