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Simplifying 0.2(60) + 0.8x = 0.4(60 + x) Multiply 0.2 * 60 12 + 0.8x = 0.4(60 + x) 12 + 0.8x = (60 * 0.4 + x * 0.4) 12 + 0.8x = (24 + 0.4x) Solving 12 + 0.8x = 24 + 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. 12 + 0.8x + -0.4x = 24 + 0.4x + -0.4x Combine like terms: 0.8x + -0.4x = 0.4x 12 + 0.4x = 24 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 12 + 0.4x = 24 + 0.0 12 + 0.4x = 24 Add '-12' to each side of the equation. 12 + -12 + 0.4x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 0.4x = 24 + -12 0.4x = 24 + -12 Combine like terms: 24 + -12 = 12 0.4x = 12 Divide each side by '0.4'. x = 30 Simplifying x = 30
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