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Simplifying 0.23x + 0.4 = 30 + -3.5x Reorder the terms: 0.4 + 0.23x = 30 + -3.5x Solving 0.4 + 0.23x = 30 + -3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5x' to each side of the equation. 0.4 + 0.23x + 3.5x = 30 + -3.5x + 3.5x Combine like terms: 0.23x + 3.5x = 3.73x 0.4 + 3.73x = 30 + -3.5x + 3.5x Combine like terms: -3.5x + 3.5x = 0.0 0.4 + 3.73x = 30 + 0.0 0.4 + 3.73x = 30 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 3.73x = 30 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 3.73x = 30 + -0.4 3.73x = 30 + -0.4 Combine like terms: 30 + -0.4 = 29.6 3.73x = 29.6 Divide each side by '3.73'. x = 7.935656836 Simplifying x = 7.935656836
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