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Simplifying 0.5x + -0.3(20 + x) = 0.4(20) 0.5x + (20 * -0.3 + x * -0.3) = 0.4(20) 0.5x + (-6 + -0.3x) = 0.4(20) Reorder the terms: -6 + 0.5x + -0.3x = 0.4(20) Combine like terms: 0.5x + -0.3x = 0.2x -6 + 0.2x = 0.4(20) Multiply 0.4 * 20 -6 + 0.2x = 8 Solving -6 + 0.2x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 0.2x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 0.2x = 8 + 6 0.2x = 8 + 6 Combine like terms: 8 + 6 = 14 0.2x = 14 Divide each side by '0.2'. x = 70 Simplifying x = 70
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