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Simplifying x + -6 + x + 2[(x + -6) + x] = 84 Reorder the terms: x + -6 + x + 2[(-6 + x) + x] = 84 Remove parenthesis around (-6 + x) x + -6 + x + 2[-6 + x + x] = 84 Combine like terms: x + x = 2x x + -6 + x + 2[-6 + 2x] = 84 x + -6 + x + [-6 * 2 + 2x * 2] = 84 x + -6 + x + [-12 + 4x] = 84 Reorder the terms: -6 + -12 + x + x + 4x = 84 Combine like terms: -6 + -12 = -18 -18 + x + x + 4x = 84 Combine like terms: x + x = 2x -18 + 2x + 4x = 84 Combine like terms: 2x + 4x = 6x -18 + 6x = 84 Solving -18 + 6x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 6x = 84 + 18 Combine like terms: -18 + 18 = 0 0 + 6x = 84 + 18 6x = 84 + 18 Combine like terms: 84 + 18 = 102 6x = 102 Divide each side by '6'. x = 17 Simplifying x = 17
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