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Simplifying 0.625x + 110 = 0.125x + 130 Reorder the terms: 110 + 0.625x = 0.125x + 130 Reorder the terms: 110 + 0.625x = 130 + 0.125x Solving 110 + 0.625x = 130 + 0.125x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.125x' to each side of the equation. 110 + 0.625x + -0.125x = 130 + 0.125x + -0.125x Combine like terms: 0.625x + -0.125x = 0.5x 110 + 0.5x = 130 + 0.125x + -0.125x Combine like terms: 0.125x + -0.125x = 0.000 110 + 0.5x = 130 + 0.000 110 + 0.5x = 130 Add '-110' to each side of the equation. 110 + -110 + 0.5x = 130 + -110 Combine like terms: 110 + -110 = 0 0 + 0.5x = 130 + -110 0.5x = 130 + -110 Combine like terms: 130 + -110 = 20 0.5x = 20 Divide each side by '0.5'. x = 40 Simplifying x = 40
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