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Simplifying 0.38x + 0.25 = 0.42 + -0.61x + 0.42 Reorder the terms: 0.25 + 0.38x = 0.42 + -0.61x + 0.42 Reorder the terms: 0.25 + 0.38x = 0.42 + 0.42 + -0.61x Combine like terms: 0.42 + 0.42 = 0.84 0.25 + 0.38x = 0.84 + -0.61x Solving 0.25 + 0.38x = 0.84 + -0.61x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.61x' to each side of the equation. 0.25 + 0.38x + 0.61x = 0.84 + -0.61x + 0.61x Combine like terms: 0.38x + 0.61x = 0.99x 0.25 + 0.99x = 0.84 + -0.61x + 0.61x Combine like terms: -0.61x + 0.61x = 0.00 0.25 + 0.99x = 0.84 + 0.00 0.25 + 0.99x = 0.84 Add '-0.25' to each side of the equation. 0.25 + -0.25 + 0.99x = 0.84 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.99x = 0.84 + -0.25 0.99x = 0.84 + -0.25 Combine like terms: 0.84 + -0.25 = 0.59 0.99x = 0.59 Divide each side by '0.99'. x = 0.595959596 Simplifying x = 0.595959596
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