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Simplifying -31 + -4 = -5 + -5(1 + 5x) Combine like terms: -31 + -4 = -35 -35 = -5 + -5(1 + 5x) -35 = -5 + (1 * -5 + 5x * -5) -35 = -5 + (-5 + -25x) Combine like terms: -5 + -5 = -10 -35 = -10 + -25x Solving -35 = -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. -35 + 25x = -10 + -25x + 25x Combine like terms: -25x + 25x = 0 -35 + 25x = -10 + 0 -35 + 25x = -10 Add '35' to each side of the equation. -35 + 35 + 25x = -10 + 35 Combine like terms: -35 + 35 = 0 0 + 25x = -10 + 35 25x = -10 + 35 Combine like terms: -10 + 35 = 25 25x = 25 Divide each side by '25'. x = 1 Simplifying x = 1
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