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Simplifying 0.23x + -0.4 = 0.38x + 0.2 Reorder the terms: -0.4 + 0.23x = 0.38x + 0.2 Reorder the terms: -0.4 + 0.23x = 0.2 + 0.38x Solving -0.4 + 0.23x = 0.2 + 0.38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.38x' to each side of the equation. -0.4 + 0.23x + -0.38x = 0.2 + 0.38x + -0.38x Combine like terms: 0.23x + -0.38x = -0.15x -0.4 + -0.15x = 0.2 + 0.38x + -0.38x Combine like terms: 0.38x + -0.38x = 0.00 -0.4 + -0.15x = 0.2 + 0.00 -0.4 + -0.15x = 0.2 Add '0.4' to each side of the equation. -0.4 + 0.4 + -0.15x = 0.2 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -0.15x = 0.2 + 0.4 -0.15x = 0.2 + 0.4 Combine like terms: 0.2 + 0.4 = 0.6 -0.15x = 0.6 Divide each side by '-0.15'. x = -4 Simplifying x = -4
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