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Simplifying 0.3(x + -5) + 0.23x + 0.4 = 0.2(x + 0.4) + 0.5 Reorder the terms: 0.3(-5 + x) + 0.23x + 0.4 = 0.2(x + 0.4) + 0.5 (-5 * 0.3 + x * 0.3) + 0.23x + 0.4 = 0.2(x + 0.4) + 0.5 (-1.5 + 0.3x) + 0.23x + 0.4 = 0.2(x + 0.4) + 0.5 Reorder the terms: -1.5 + 0.4 + 0.3x + 0.23x = 0.2(x + 0.4) + 0.5 Combine like terms: -1.5 + 0.4 = -1.1 -1.1 + 0.3x + 0.23x = 0.2(x + 0.4) + 0.5 Combine like terms: 0.3x + 0.23x = 0.53x -1.1 + 0.53x = 0.2(x + 0.4) + 0.5 Reorder the terms: -1.1 + 0.53x = 0.2(0.4 + x) + 0.5 -1.1 + 0.53x = (0.4 * 0.2 + x * 0.2) + 0.5 -1.1 + 0.53x = (0.08 + 0.2x) + 0.5 Reorder the terms: -1.1 + 0.53x = 0.08 + 0.5 + 0.2x Combine like terms: 0.08 + 0.5 = 0.58 -1.1 + 0.53x = 0.58 + 0.2x Solving -1.1 + 0.53x = 0.58 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -1.1 + 0.53x + -0.2x = 0.58 + 0.2x + -0.2x Combine like terms: 0.53x + -0.2x = 0.33x -1.1 + 0.33x = 0.58 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -1.1 + 0.33x = 0.58 + 0.0 -1.1 + 0.33x = 0.58 Add '1.1' to each side of the equation. -1.1 + 1.1 + 0.33x = 0.58 + 1.1 Combine like terms: -1.1 + 1.1 = 0.0 0.0 + 0.33x = 0.58 + 1.1 0.33x = 0.58 + 1.1 Combine like terms: 0.58 + 1.1 = 1.68 0.33x = 1.68 Divide each side by '0.33'. x = 5.090909091 Simplifying x = 5.090909091
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