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Simplifying 0.4(x + 80) + 1.2x = 96 Reorder the terms: 0.4(80 + x) + 1.2x = 96 (80 * 0.4 + x * 0.4) + 1.2x = 96 (32 + 0.4x) + 1.2x = 96 Combine like terms: 0.4x + 1.2x = 1.6x 32 + 1.6x = 96 Solving 32 + 1.6x = 96 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 + 1.6x = 96 + -32 Combine like terms: 32 + -32 = 0 0 + 1.6x = 96 + -32 1.6x = 96 + -32 Combine like terms: 96 + -32 = 64 1.6x = 64 Divide each side by '1.6'. x = 40 Simplifying x = 40
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