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Simplifying 0.90x + 0.5 = 0.33 + -0.09x + 0.33 Reorder the terms: 0.5 + 0.90x = 0.33 + -0.09x + 0.33 Reorder the terms: 0.5 + 0.90x = 0.33 + 0.33 + -0.09x Combine like terms: 0.33 + 0.33 = 0.66 0.5 + 0.90x = 0.66 + -0.09x Solving 0.5 + 0.90x = 0.66 + -0.09x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.09x' to each side of the equation. 0.5 + 0.90x + 0.09x = 0.66 + -0.09x + 0.09x Combine like terms: 0.90x + 0.09x = 0.99x 0.5 + 0.99x = 0.66 + -0.09x + 0.09x Combine like terms: -0.09x + 0.09x = 0.00 0.5 + 0.99x = 0.66 + 0.00 0.5 + 0.99x = 0.66 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.99x = 0.66 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.99x = 0.66 + -0.5 0.99x = 0.66 + -0.5 Combine like terms: 0.66 + -0.5 = 0.16 0.99x = 0.16 Divide each side by '0.99'. x = 0.1616161616 Simplifying x = 0.1616161616
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