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Simplifying 7x + 2 = (x + -5) + 7 Reorder the terms: 2 + 7x = (x + -5) + 7 Reorder the terms: 2 + 7x = (-5 + x) + 7 Remove parenthesis around (-5 + x) 2 + 7x = -5 + x + 7 Reorder the terms: 2 + 7x = -5 + 7 + x Combine like terms: -5 + 7 = 2 2 + 7x = 2 + x Add '-2' to each side of the equation. 2 + -2 + 7x = 2 + -2 + x Combine like terms: 2 + -2 = 0 0 + 7x = 2 + -2 + x 7x = 2 + -2 + x Combine like terms: 2 + -2 = 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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