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Simplifying 5x + -5(1 + -5x) = 5(-8 + -2) 5x + (1 * -5 + -5x * -5) = 5(-8 + -2) 5x + (-5 + 25x) = 5(-8 + -2) Reorder the terms: -5 + 5x + 25x = 5(-8 + -2) Combine like terms: 5x + 25x = 30x -5 + 30x = 5(-8 + -2) Combine like terms: -8 + -2 = -10 -5 + 30x = 5(-10) Multiply 5 * -10 -5 + 30x = -50 Solving -5 + 30x = -50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 30x = -50 + 5 Combine like terms: -5 + 5 = 0 0 + 30x = -50 + 5 30x = -50 + 5 Combine like terms: -50 + 5 = -45 30x = -45 Divide each side by '30'. x = -1.5 Simplifying x = -1.5
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