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Simplifying -31 + -4x = -5 + -5(1 + x) -31 + -4x = -5 + (1 * -5 + x * -5) -31 + -4x = -5 + (-5 + -5x) Combine like terms: -5 + -5 = -10 -31 + -4x = -10 + -5x Solving -31 + -4x = -10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -31 + -4x + 5x = -10 + -5x + 5x Combine like terms: -4x + 5x = 1x -31 + 1x = -10 + -5x + 5x Combine like terms: -5x + 5x = 0 -31 + 1x = -10 + 0 -31 + 1x = -10 Add '31' to each side of the equation. -31 + 31 + 1x = -10 + 31 Combine like terms: -31 + 31 = 0 0 + 1x = -10 + 31 1x = -10 + 31 Combine like terms: -10 + 31 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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