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Simplifying -5(1 + 8x) = 5x + -5 (1 * -5 + 8x * -5) = 5x + -5 (-5 + -40x) = 5x + -5 Reorder the terms: -5 + -40x = -5 + 5x Add '5' to each side of the equation. -5 + 5 + -40x = -5 + 5 + 5x Combine like terms: -5 + 5 = 0 0 + -40x = -5 + 5 + 5x -40x = -5 + 5 + 5x Combine like terms: -5 + 5 = 0 -40x = 0 + 5x -40x = 5x Solving -40x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -40x + -5x = 5x + -5x Combine like terms: -40x + -5x = -45x -45x = 5x + -5x Combine like terms: 5x + -5x = 0 -45x = 0 Divide each side by '-45'. x = 0 Simplifying x = 0
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