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Simplifying 0.32x + 0.23 = 0.40x + 6 Reorder the terms: 0.23 + 0.32x = 0.40x + 6 Reorder the terms: 0.23 + 0.32x = 6 + 0.40x Solving 0.23 + 0.32x = 6 + 0.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.40x' to each side of the equation. 0.23 + 0.32x + -0.40x = 6 + 0.40x + -0.40x Combine like terms: 0.32x + -0.40x = -0.08x 0.23 + -0.08x = 6 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 0.23 + -0.08x = 6 + 0.00 0.23 + -0.08x = 6 Add '-0.23' to each side of the equation. 0.23 + -0.23 + -0.08x = 6 + -0.23 Combine like terms: 0.23 + -0.23 = 0.00 0.00 + -0.08x = 6 + -0.23 -0.08x = 6 + -0.23 Combine like terms: 6 + -0.23 = 5.77 -0.08x = 5.77 Divide each side by '-0.08'. x = -72.125 Simplifying x = -72.125
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