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Simplifying -31 + 4x = -5 + -5(1 + 5x) -31 + 4x = -5 + (1 * -5 + 5x * -5) -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 = 29x -31 + 29x = -10 + -25x + 25x Combine like terms: -25x + 25x = 0 -31 + 29x = -10 + 0 -31 + 29x = -10 Add '31' to each side of the equation. -31 + 31 + 29x = -10 + 31 Combine like terms: -31 + 31 = 0 0 + 29x = -10 + 31 29x = -10 + 31 Combine like terms: -10 + 31 = 21 29x = 21 Divide each side by '29'. x = 0.724137931 Simplifying x = 0.724137931
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