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Simplifying 0.40(80) + 0.10x = 0.30(x + 80) Multiply 0.40 * 80 32 + 0.10x = 0.30(x + 80) Reorder the terms: 32 + 0.10x = 0.30(80 + x) 32 + 0.10x = (80 * 0.30 + x * 0.30) 32 + 0.10x = (24 + 0.30x) Solving 32 + 0.10x = 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 + 0.10x + -0.30x = 24 + 0.30x + -0.30x Combine like terms: 0.10x + -0.30x = -0.2x 32 + -0.2x = 24 + 0.30x + -0.30x Combine like terms: 0.30x + -0.30x = 0.00 32 + -0.2x = 24 + 0.00 32 + -0.2x = 24 Add '-32' to each side of the equation. 32 + -32 + -0.2x = 24 + -32 Combine like terms: 32 + -32 = 0 0 + -0.2x = 24 + -32 -0.2x = 24 + -32 Combine like terms: 24 + -32 = -8 -0.2x = -8 Divide each side by '-0.2'. x = 40 Simplifying x = 40
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