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Simplifying 10x + -3(8 + -5x) = -74 10x + (8 * -3 + -5x * -3) = -74 10x + (-24 + 15x) = -74 Reorder the terms: -24 + 10x + 15x = -74 Combine like terms: 10x + 15x = 25x -24 + 25x = -74 Solving -24 + 25x = -74 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 + 25x = -74 + 24 Combine like terms: -24 + 24 = 0 0 + 25x = -74 + 24 25x = -74 + 24 Combine like terms: -74 + 24 = -50 25x = -50 Divide each side by '25'. x = -2 Simplifying x = -2
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