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Simplifying -5(-1x + 6) + -5(-8x + -5) = 40 Reorder the terms: -5(6 + -1x) + -5(-8x + -5) = 40 (6 * -5 + -1x * -5) + -5(-8x + -5) = 40 (-30 + 5x) + -5(-8x + -5) = 40 Reorder the terms: -30 + 5x + -5(-5 + -8x) = 40 -30 + 5x + (-5 * -5 + -8x * -5) = 40 -30 + 5x + (25 + 40x) = 40 Reorder the terms: -30 + 25 + 5x + 40x = 40 Combine like terms: -30 + 25 = -5 -5 + 5x + 40x = 40 Combine like terms: 5x + 40x = 45x -5 + 45x = 40 Solving -5 + 45x = 40 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 + 45x = 40 + 5 Combine like terms: -5 + 5 = 0 0 + 45x = 40 + 5 45x = 40 + 5 Combine like terms: 40 + 5 = 45 45x = 45 Divide each side by '45'. x = 1 Simplifying x = 1
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