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Simplifying 0.72x + 0.5 = 0.3 + -0.27x + 0.3 Reorder the terms: 0.5 + 0.72x = 0.3 + -0.27x + 0.3 Reorder the terms: 0.5 + 0.72x = 0.3 + 0.3 + -0.27x Combine like terms: 0.3 + 0.3 = 0.6 0.5 + 0.72x = 0.6 + -0.27x Solving 0.5 + 0.72x = 0.6 + -0.27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.27x' to each side of the equation. 0.5 + 0.72x + 0.27x = 0.6 + -0.27x + 0.27x Combine like terms: 0.72x + 0.27x = 0.99x 0.5 + 0.99x = 0.6 + -0.27x + 0.27x Combine like terms: -0.27x + 0.27x = 0.00 0.5 + 0.99x = 0.6 + 0.00 0.5 + 0.99x = 0.6 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.99x = 0.6 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.99x = 0.6 + -0.5 0.99x = 0.6 + -0.5 Combine like terms: 0.6 + -0.5 = 0.1 0.99x = 0.1 Divide each side by '0.99'. x = 0.101010101 Simplifying x = 0.101010101
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