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Simplifying 0.4(x + 80) + 0.8x = 68 Reorder the terms: 0.4(80 + x) + 0.8x = 68 (80 * 0.4 + x * 0.4) + 0.8x = 68 (32 + 0.4x) + 0.8x = 68 Combine like terms: 0.4x + 0.8x = 1.2x 32 + 1.2x = 68 Solving 32 + 1.2x = 68 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 + 1.2x = 68 + -32 Combine like terms: 32 + -32 = 0 0 + 1.2x = 68 + -32 1.2x = 68 + -32 Combine like terms: 68 + -32 = 36 1.2x = 36 Divide each side by '1.2'. x = 30 Simplifying x = 30
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