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Simplifying 0.16(50) + 0.8x = 0.4(50 + x) Multiply 0.16 * 50 8 + 0.8x = 0.4(50 + x) 8 + 0.8x = (50 * 0.4 + x * 0.4) 8 + 0.8x = (20 + 0.4x) Solving 8 + 0.8x = 20 + 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. 8 + 0.8x + -0.4x = 20 + 0.4x + -0.4x Combine like terms: 0.8x + -0.4x = 0.4x 8 + 0.4x = 20 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 8 + 0.4x = 20 + 0.0 8 + 0.4x = 20 Add '-8' to each side of the equation. 8 + -8 + 0.4x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 0.4x = 20 + -8 0.4x = 20 + -8 Combine like terms: 20 + -8 = 12 0.4x = 12 Divide each side by '0.4'. x = 30 Simplifying x = 30
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