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Simplifying 0.5x + -0.2(80 + x) = 0.1(80) 0.5x + (80 * -0.2 + x * -0.2) = 0.1(80) 0.5x + (-16 + -0.2x) = 0.1(80) Reorder the terms: -16 + 0.5x + -0.2x = 0.1(80) Combine like terms: 0.5x + -0.2x = 0.3x -16 + 0.3x = 0.1(80) Multiply 0.1 * 80 -16 + 0.3x = 8 Solving -16 + 0.3x = 8 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 + 0.3x = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 0.3x = 8 + 16 0.3x = 8 + 16 Combine like terms: 8 + 16 = 24 0.3x = 24 Divide each side by '0.3'. x = 80 Simplifying x = 80
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