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Simplifying 5(x + -1) = -1x + 7 Reorder the terms: 5(-1 + x) = -1x + 7 (-1 * 5 + x * 5) = -1x + 7 (-5 + 5x) = -1x + 7 Reorder the terms: -5 + 5x = 7 + -1x Solving -5 + 5x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5 + 5x + x = 7 + -1x + x Combine like terms: 5x + x = 6x -5 + 6x = 7 + -1x + x Combine like terms: -1x + x = 0 -5 + 6x = 7 + 0 -5 + 6x = 7 Add '5' to each side of the equation. -5 + 5 + 6x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 7 + 5 6x = 7 + 5 Combine like terms: 7 + 5 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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