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Simplifying 0.625x + 0.9 = 1.25 + -0.375x + 1.25 Reorder the terms: 0.9 + 0.625x = 1.25 + -0.375x + 1.25 Reorder the terms: 0.9 + 0.625x = 1.25 + 1.25 + -0.375x Combine like terms: 1.25 + 1.25 = 2.5 0.9 + 0.625x = 2.5 + -0.375x Solving 0.9 + 0.625x = 2.5 + -0.375x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.375x' to each side of the equation. 0.9 + 0.625x + 0.375x = 2.5 + -0.375x + 0.375x Combine like terms: 0.625x + 0.375x = 1x 0.9 + 1x = 2.5 + -0.375x + 0.375x Combine like terms: -0.375x + 0.375x = 0.000 0.9 + 1x = 2.5 + 0.000 0.9 + 1x = 2.5 Add '-0.9' to each side of the equation. 0.9 + -0.9 + 1x = 2.5 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 1x = 2.5 + -0.9 1x = 2.5 + -0.9 Combine like terms: 2.5 + -0.9 = 1.6 1x = 1.6 Divide each side by '1'. x = 1.6 Simplifying x = 1.6
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