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Simplifying 0.8x + -0.3(20 + x) = 0.45(20) 0.8x + (20 * -0.3 + x * -0.3) = 0.45(20) 0.8x + (-6 + -0.3x) = 0.45(20) Reorder the terms: -6 + 0.8x + -0.3x = 0.45(20) Combine like terms: 0.8x + -0.3x = 0.5x -6 + 0.5x = 0.45(20) Multiply 0.45 * 20 -6 + 0.5x = 9 Solving -6 + 0.5x = 9 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 + 0.5x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 0.5x = 9 + 6 0.5x = 9 + 6 Combine like terms: 9 + 6 = 15 0.5x = 15 Divide each side by '0.5'. x = 30 Simplifying x = 30
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