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Simplifying 0.66x + 0.5 = 0.42 + -0.33x + 0.42 Reorder the terms: 0.5 + 0.66x = 0.42 + -0.33x + 0.42 Reorder the terms: 0.5 + 0.66x = 0.42 + 0.42 + -0.33x Combine like terms: 0.42 + 0.42 = 0.84 0.5 + 0.66x = 0.84 + -0.33x Solving 0.5 + 0.66x = 0.84 + -0.33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.33x' to each side of the equation. 0.5 + 0.66x + 0.33x = 0.84 + -0.33x + 0.33x Combine like terms: 0.66x + 0.33x = 0.99x 0.5 + 0.99x = 0.84 + -0.33x + 0.33x Combine like terms: -0.33x + 0.33x = 0.00 0.5 + 0.99x = 0.84 + 0.00 0.5 + 0.99x = 0.84 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.99x = 0.84 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.99x = 0.84 + -0.5 0.99x = 0.84 + -0.5 Combine like terms: 0.84 + -0.5 = 0.34 0.99x = 0.34 Divide each side by '0.99'. x = 0.3434343434 Simplifying x = 0.3434343434
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