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Simplifying 0.4(x + 80) + 0.6x = 57 Reorder the terms: 0.4(80 + x) + 0.6x = 57 (80 * 0.4 + x * 0.4) + 0.6x = 57 (32 + 0.4x) + 0.6x = 57 Combine like terms: 0.4x + 0.6x = 1x 32 + 1x = 57 Solving 32 + 1x = 57 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 1x = 57 + -32 Combine like terms: 32 + -32 = 0 0 + 1x = 57 + -32 1x = 57 + -32 Combine like terms: 57 + -32 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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