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Simplifying 0.40(60) + 0.60x = 0.48(48 + x) Multiply 0.40 * 60 24 + 0.60x = 0.48(48 + x) 24 + 0.60x = (48 * 0.48 + x * 0.48) 24 + 0.60x = (23.04 + 0.48x) Solving 24 + 0.60x = 23.04 + 0.48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.48x' to each side of the equation. 24 + 0.60x + -0.48x = 23.04 + 0.48x + -0.48x Combine like terms: 0.60x + -0.48x = 0.12x 24 + 0.12x = 23.04 + 0.48x + -0.48x Combine like terms: 0.48x + -0.48x = 0.00 24 + 0.12x = 23.04 + 0.00 24 + 0.12x = 23.04 Add '-24' to each side of the equation. 24 + -24 + 0.12x = 23.04 + -24 Combine like terms: 24 + -24 = 0 0 + 0.12x = 23.04 + -24 0.12x = 23.04 + -24 Combine like terms: 23.04 + -24 = -0.96 0.12x = -0.96 Divide each side by '0.12'. x = -8 Simplifying x = -8
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