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Simplifying 5(x + -1) = 7 + x Reorder the terms: 5(-1 + x) = 7 + x (-1 * 5 + x * 5) = 7 + x (-5 + 5x) = 7 + x Solving -5 + 5x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 5x + -1x = 7 + x + -1x Combine like terms: 5x + -1x = 4x -5 + 4x = 7 + x + -1x Combine like terms: x + -1x = 0 -5 + 4x = 7 + 0 -5 + 4x = 7 Add '5' to each side of the equation. -5 + 5 + 4x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 7 + 5 4x = 7 + 5 Combine like terms: 7 + 5 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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