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Simplifying 0.50x + -0.30(x + 80) = -0.10(80) Reorder the terms: 0.50x + -0.30(80 + x) = -0.10(80) 0.50x + (80 * -0.30 + x * -0.30) = -0.10(80) 0.50x + (-24 + -0.30x) = -0.10(80) Reorder the terms: -24 + 0.50x + -0.30x = -0.10(80) Combine like terms: 0.50x + -0.30x = 0.2x -24 + 0.2x = -0.10(80) Multiply -0.10 * 80 -24 + 0.2x = -8 Solving -24 + 0.2x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 0.2x = -8 + 24 Combine like terms: -24 + 24 = 0 0 + 0.2x = -8 + 24 0.2x = -8 + 24 Combine like terms: -8 + 24 = 16 0.2x = 16 Divide each side by '0.2'. x = 80 Simplifying x = 80
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