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Simplifying x + (x + -7) = (x + 5) Reorder the terms: x + (-7 + x) = (x + 5) Remove parenthesis around (-7 + x) x + -7 + x = (x + 5) Reorder the terms: -7 + x + x = (x + 5) Combine like terms: x + x = 2x -7 + 2x = (x + 5) Reorder the terms: -7 + 2x = (5 + x) Remove parenthesis around (5 + x) -7 + 2x = 5 + x Solving -7 + 2x = 5 + 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. -7 + 2x + -1x = 5 + x + -1x Combine like terms: 2x + -1x = 1x -7 + 1x = 5 + x + -1x Combine like terms: x + -1x = 0 -7 + 1x = 5 + 0 -7 + 1x = 5 Add '7' to each side of the equation. -7 + 7 + 1x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 5 + 7 1x = 5 + 7 Combine like terms: 5 + 7 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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