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