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Simplifying 0.8x + -0.3(20 + x) = 0.7(20) 0.8x + (20 * -0.3 + x * -0.3) = 0.7(20) 0.8x + (-6 + -0.3x) = 0.7(20) Reorder the terms: -6 + 0.8x + -0.3x = 0.7(20) Combine like terms: 0.8x + -0.3x = 0.5x -6 + 0.5x = 0.7(20) Multiply 0.7 * 20 -6 + 0.5x = 14 Solving -6 + 0.5x = 14 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 = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 0.5x = 14 + 6 0.5x = 14 + 6 Combine like terms: 14 + 6 = 20 0.5x = 20 Divide each side by '0.5'. x = 40 Simplifying x = 40
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