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Simplifying 5(x + -1) = 2 + -4x Reorder the terms: 5(-1 + x) = 2 + -4x (-1 * 5 + x * 5) = 2 + -4x (-5 + 5x) = 2 + -4x Solving -5 + 5x = 2 + -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 = 2 + -4x + 4x Combine like terms: 5x + 4x = 9x -5 + 9x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 -5 + 9x = 2 + 0 -5 + 9x = 2 Add '5' to each side of the equation. -5 + 5 + 9x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = 2 + 5 9x = 2 + 5 Combine like terms: 2 + 5 = 7 9x = 7 Divide each side by '9'. x = 0.7777777778 Simplifying x = 0.7777777778
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