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Simplifying x + 6 = (7 + -1x) + 5 Reorder the terms: 6 + x = (7 + -1x) + 5 Remove parenthesis around (7 + -1x) 6 + x = 7 + -1x + 5 Reorder the terms: 6 + x = 7 + 5 + -1x Combine like terms: 7 + 5 = 12 6 + x = 12 + -1x Solving 6 + x = 12 + -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. 6 + x + x = 12 + -1x + x Combine like terms: x + x = 2x 6 + 2x = 12 + -1x + x Combine like terms: -1x + x = 0 6 + 2x = 12 + 0 6 + 2x = 12 Add '-6' to each side of the equation. 6 + -6 + 2x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 12 + -6 2x = 12 + -6 Combine like terms: 12 + -6 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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