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Simplifying 0.23x + 0.44 = 0.1(x + 2) + -0.37x Reorder the terms: 0.44 + 0.23x = 0.1(x + 2) + -0.37x Reorder the terms: 0.44 + 0.23x = 0.1(2 + x) + -0.37x 0.44 + 0.23x = (2 * 0.1 + x * 0.1) + -0.37x 0.44 + 0.23x = (0.2 + 0.1x) + -0.37x Combine like terms: 0.1x + -0.37x = -0.27x 0.44 + 0.23x = 0.2 + -0.27x Solving 0.44 + 0.23x = 0.2 + -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. 0.44 + 0.23x + 0.27x = 0.2 + -0.27x + 0.27x Combine like terms: 0.23x + 0.27x = 0.5x 0.44 + 0.5x = 0.2 + -0.27x + 0.27x Combine like terms: -0.27x + 0.27x = 0.00 0.44 + 0.5x = 0.2 + 0.00 0.44 + 0.5x = 0.2 Add '-0.44' to each side of the equation. 0.44 + -0.44 + 0.5x = 0.2 + -0.44 Combine like terms: 0.44 + -0.44 = 0.00 0.00 + 0.5x = 0.2 + -0.44 0.5x = 0.2 + -0.44 Combine like terms: 0.2 + -0.44 = -0.24 0.5x = -0.24 Divide each side by '0.5'. x = -0.48 Simplifying x = -0.48
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