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Simplifying 0.4(10) + x = 0.8(20 + x) Multiply 0.4 * 10 4 + x = 0.8(20 + x) 4 + x = (20 * 0.8 + x * 0.8) 4 + x = (16 + 0.8x) Solving 4 + x = 16 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 4 + x + -0.8x = 16 + 0.8x + -0.8x Combine like terms: x + -0.8x = 0.2x 4 + 0.2x = 16 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 4 + 0.2x = 16 + 0.0 4 + 0.2x = 16 Add '-4' to each side of the equation. 4 + -4 + 0.2x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 0.2x = 16 + -4 0.2x = 16 + -4 Combine like terms: 16 + -4 = 12 0.2x = 12 Divide each side by '0.2'. x = 60 Simplifying x = 60
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