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Simplifying -8(1 + -5x) = 37 + -5x (1 * -8 + -5x * -8) = 37 + -5x (-8 + 40x) = 37 + -5x Solving -8 + 40x = 37 + -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. -8 + 40x + 5x = 37 + -5x + 5x Combine like terms: 40x + 5x = 45x -8 + 45x = 37 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + 45x = 37 + 0 -8 + 45x = 37 Add '8' to each side of the equation. -8 + 8 + 45x = 37 + 8 Combine like terms: -8 + 8 = 0 0 + 45x = 37 + 8 45x = 37 + 8 Combine like terms: 37 + 8 = 45 45x = 45 Divide each side by '45'. x = 1 Simplifying x = 1
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