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Simplifying (2x + -1) + 7 = 2(1 + -1x) Reorder the terms: (-1 + 2x) + 7 = 2(1 + -1x) Remove parenthesis around (-1 + 2x) -1 + 2x + 7 = 2(1 + -1x) Reorder the terms: -1 + 7 + 2x = 2(1 + -1x) Combine like terms: -1 + 7 = 6 6 + 2x = 2(1 + -1x) 6 + 2x = (1 * 2 + -1x * 2) 6 + 2x = (2 + -2x) Solving 6 + 2x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 2x + 2x = 2 + -2x + 2x Combine like terms: 2x + 2x = 4x 6 + 4x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 4x = 2 + 0 6 + 4x = 2 Add '-6' to each side of the equation. 6 + -6 + 4x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 2 + -6 4x = 2 + -6 Combine like terms: 2 + -6 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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