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Simplifying 0.3(80) + 0.60x = 0.4(80 + x) Multiply 0.3 * 80 24 + 0.60x = 0.4(80 + x) 24 + 0.60x = (80 * 0.4 + x * 0.4) 24 + 0.60x = (32 + 0.4x) Solving 24 + 0.60x = 32 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 24 + 0.60x + -0.4x = 32 + 0.4x + -0.4x Combine like terms: 0.60x + -0.4x = 0.2x 24 + 0.2x = 32 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 24 + 0.2x = 32 + 0.0 24 + 0.2x = 32 Add '-24' to each side of the equation. 24 + -24 + 0.2x = 32 + -24 Combine like terms: 24 + -24 = 0 0 + 0.2x = 32 + -24 0.2x = 32 + -24 Combine like terms: 32 + -24 = 8 0.2x = 8 Divide each side by '0.2'. x = 40 Simplifying x = 40
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