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Simplifying -31 + -4x = -5 + -5(1x + 5x) Combine like terms: 1x + 5x = 6x -31 + -4x = -5 + -5(6x) Remove parenthesis around (6x) -31 + -4x = -5 + -5 * 6x Multiply -5 * 6 -31 + -4x = -5 + -30x Solving -31 + -4x = -5 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -31 + -4x + 30x = -5 + -30x + 30x Combine like terms: -4x + 30x = 26x -31 + 26x = -5 + -30x + 30x Combine like terms: -30x + 30x = 0 -31 + 26x = -5 + 0 -31 + 26x = -5 Add '31' to each side of the equation. -31 + 31 + 26x = -5 + 31 Combine like terms: -31 + 31 = 0 0 + 26x = -5 + 31 26x = -5 + 31 Combine like terms: -5 + 31 = 26 26x = 26 Divide each side by '26'. x = 1 Simplifying x = 1
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