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Simplifying -40 + 8x = -5(1 + -5x) + -1 -40 + 8x = (1 * -5 + -5x * -5) + -1 -40 + 8x = (-5 + 25x) + -1 Reorder the terms: -40 + 8x = -5 + -1 + 25x Combine like terms: -5 + -1 = -6 -40 + 8x = -6 + 25x Solving -40 + 8x = -6 + 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 + 8x + -25x = -6 + 25x + -25x Combine like terms: 8x + -25x = -17x -40 + -17x = -6 + 25x + -25x Combine like terms: 25x + -25x = 0 -40 + -17x = -6 + 0 -40 + -17x = -6 Add '40' to each side of the equation. -40 + 40 + -17x = -6 + 40 Combine like terms: -40 + 40 = 0 0 + -17x = -6 + 40 -17x = -6 + 40 Combine like terms: -6 + 40 = 34 -17x = 34 Divide each side by '-17'. x = -2 Simplifying x = -2
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