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Simplifying 0.7x + -0.2(80 + x) = 0.3(80) 0.7x + (80 * -0.2 + x * -0.2) = 0.3(80) 0.7x + (-16 + -0.2x) = 0.3(80) Reorder the terms: -16 + 0.7x + -0.2x = 0.3(80) Combine like terms: 0.7x + -0.2x = 0.5x -16 + 0.5x = 0.3(80) Multiply 0.3 * 80 -16 + 0.5x = 24 Solving -16 + 0.5x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 0.5x = 24 + 16 Combine like terms: -16 + 16 = 0 0 + 0.5x = 24 + 16 0.5x = 24 + 16 Combine like terms: 24 + 16 = 40 0.5x = 40 Divide each side by '0.5'. x = 80 Simplifying x = 80
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