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Simplifying 5(x + -1) = -4x + 67 Reorder the terms: 5(-1 + x) = -4x + 67 (-1 * 5 + x * 5) = -4x + 67 (-5 + 5x) = -4x + 67 Reorder the terms: -5 + 5x = 67 + -4x Solving -5 + 5x = 67 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -5 + 5x + 4x = 67 + -4x + 4x Combine like terms: 5x + 4x = 9x -5 + 9x = 67 + -4x + 4x Combine like terms: -4x + 4x = 0 -5 + 9x = 67 + 0 -5 + 9x = 67 Add '5' to each side of the equation. -5 + 5 + 9x = 67 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = 67 + 5 9x = 67 + 5 Combine like terms: 67 + 5 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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