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Simplifying 0.1(40) + 0.8x = 0.4(40 + x) Multiply 0.1 * 40 4 + 0.8x = 0.4(40 + x) 4 + 0.8x = (40 * 0.4 + x * 0.4) 4 + 0.8x = (16 + 0.4x) Solving 4 + 0.8x = 16 + 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. 4 + 0.8x + -0.4x = 16 + 0.4x + -0.4x Combine like terms: 0.8x + -0.4x = 0.4x 4 + 0.4x = 16 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 4 + 0.4x = 16 + 0.0 4 + 0.4x = 16 Add '-4' to each side of the equation. 4 + -4 + 0.4x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 0.4x = 16 + -4 0.4x = 16 + -4 Combine like terms: 16 + -4 = 12 0.4x = 12 Divide each side by '0.4'. x = 30 Simplifying x = 30
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