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Simplifying 5(x + -1) + 2x = x + -5 Reorder the terms: 5(-1 + x) + 2x = x + -5 (-1 * 5 + x * 5) + 2x = x + -5 (-5 + 5x) + 2x = x + -5 Combine like terms: 5x + 2x = 7x -5 + 7x = x + -5 Reorder the terms: -5 + 7x = -5 + x Add '5' to each side of the equation. -5 + 5 + 7x = -5 + 5 + x Combine like terms: -5 + 5 = 0 0 + 7x = -5 + 5 + x 7x = -5 + 5 + x Combine like terms: -5 + 5 = 0 7x = 0 + x 7x = x Solving 7x = 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. 7x + -1x = x + -1x Combine like terms: 7x + -1x = 6x 6x = x + -1x Combine like terms: x + -1x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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