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