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Simplifying 0.8(x + 80) + 0.4x = 100 Reorder the terms: 0.8(80 + x) + 0.4x = 100 (80 * 0.8 + x * 0.8) + 0.4x = 100 (64 + 0.8x) + 0.4x = 100 Combine like terms: 0.8x + 0.4x = 1.2x 64 + 1.2x = 100 Solving 64 + 1.2x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 1.2x = 100 + -64 Combine like terms: 64 + -64 = 0 0 + 1.2x = 100 + -64 1.2x = 100 + -64 Combine like terms: 100 + -64 = 36 1.2x = 36 Divide each side by '1.2'. x = 30 Simplifying x = 30
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