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Simplifying 0.8(x + 40) + 0.6x = 81 Reorder the terms: 0.8(40 + x) + 0.6x = 81 (40 * 0.8 + x * 0.8) + 0.6x = 81 (32 + 0.8x) + 0.6x = 81 Combine like terms: 0.8x + 0.6x = 1.4x 32 + 1.4x = 81 Solving 32 + 1.4x = 81 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 + 1.4x = 81 + -32 Combine like terms: 32 + -32 = 0 0 + 1.4x = 81 + -32 1.4x = 81 + -32 Combine like terms: 81 + -32 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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