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Simplifying 0.2(30) = 0.4(50 + x) + -0.8x Multiply 0.2 * 30 6 = 0.4(50 + x) + -0.8x 6 = (50 * 0.4 + x * 0.4) + -0.8x 6 = (20 + 0.4x) + -0.8x Combine like terms: 0.4x + -0.8x = -0.4x 6 = 20 + -0.4x Solving 6 = 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. 6 + 0.4x = 20 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 6 + 0.4x = 20 + 0.0 6 + 0.4x = 20 Add '-6' to each side of the equation. 6 + -6 + 0.4x = 20 + -6 Combine like terms: 6 + -6 = 0 0 + 0.4x = 20 + -6 0.4x = 20 + -6 Combine like terms: 20 + -6 = 14 0.4x = 14 Divide each side by '0.4'. x = 35 Simplifying x = 35
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