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Simplifying -4x + -31 = -5(5x + 1) + -5 Reorder the terms: -31 + -4x = -5(5x + 1) + -5 Reorder the terms: -31 + -4x = -5(1 + 5x) + -5 -31 + -4x = (1 * -5 + 5x * -5) + -5 -31 + -4x = (-5 + -25x) + -5 Reorder the terms: -31 + -4x = -5 + -5 + -25x Combine like terms: -5 + -5 = -10 -31 + -4x = -10 + -25x Solving -31 + -4x = -10 + -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. -31 + -4x + 25x = -10 + -25x + 25x Combine like terms: -4x + 25x = 21x -31 + 21x = -10 + -25x + 25x Combine like terms: -25x + 25x = 0 -31 + 21x = -10 + 0 -31 + 21x = -10 Add '31' to each side of the equation. -31 + 31 + 21x = -10 + 31 Combine like terms: -31 + 31 = 0 0 + 21x = -10 + 31 21x = -10 + 31 Combine like terms: -10 + 31 = 21 21x = 21 Divide each side by '21'. x = 1 Simplifying x = 1
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