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Simplifying 0.40(80) + 0.10 = 0.30(x + 80) Multiply 0.40 * 80 32 + 0.10 = 0.30(x + 80) Combine like terms: 32 + 0.10 = 32.1 32.1 = 0.30(x + 80) Reorder the terms: 32.1 = 0.30(80 + x) 32.1 = (80 * 0.30 + x * 0.30) 32.1 = (24 + 0.30x) Solving 32.1 = 24 + 0.30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.30x' to each side of the equation. 32.1 + -0.30x = 24 + 0.30x + -0.30x Combine like terms: 0.30x + -0.30x = 0.00 32.1 + -0.30x = 24 + 0.00 32.1 + -0.30x = 24 Add '-32.1' to each side of the equation. 32.1 + -32.1 + -0.30x = 24 + -32.1 Combine like terms: 32.1 + -32.1 = 0.0 0.0 + -0.30x = 24 + -32.1 -0.30x = 24 + -32.1 Combine like terms: 24 + -32.1 = -8.1 -0.30x = -8.1 Divide each side by '-0.30'. x = 27 Simplifying x = 27
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