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Simplifying 5x + -40 = 5 + -5(-3 + -5x) Reorder the terms: -40 + 5x = 5 + -5(-3 + -5x) -40 + 5x = 5 + (-3 * -5 + -5x * -5) -40 + 5x = 5 + (15 + 25x) Combine like terms: 5 + 15 = 20 -40 + 5x = 20 + 25x Solving -40 + 5x = 20 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -40 + 5x + -25x = 20 + 25x + -25x Combine like terms: 5x + -25x = -20x -40 + -20x = 20 + 25x + -25x Combine like terms: 25x + -25x = 0 -40 + -20x = 20 + 0 -40 + -20x = 20 Add '40' to each side of the equation. -40 + 40 + -20x = 20 + 40 Combine like terms: -40 + 40 = 0 0 + -20x = 20 + 40 -20x = 20 + 40 Combine like terms: 20 + 40 = 60 -20x = 60 Divide each side by '-20'. x = -3 Simplifying x = -3
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