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Simplifying x + x + -6 + 2(x + -6) + 1 = 67 Reorder the terms: x + x + -6 + 2(-6 + x) + 1 = 67 x + x + -6 + (-6 * 2 + x * 2) + 1 = 67 x + x + -6 + (-12 + 2x) + 1 = 67 Reorder the terms: -6 + -12 + 1 + x + x + 2x = 67 Combine like terms: -6 + -12 = -18 -18 + 1 + x + x + 2x = 67 Combine like terms: -18 + 1 = -17 -17 + x + x + 2x = 67 Combine like terms: x + x = 2x -17 + 2x + 2x = 67 Combine like terms: 2x + 2x = 4x -17 + 4x = 67 Solving -17 + 4x = 67 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 4x = 67 + 17 Combine like terms: -17 + 17 = 0 0 + 4x = 67 + 17 4x = 67 + 17 Combine like terms: 67 + 17 = 84 4x = 84 Divide each side by '4'. x = 21 Simplifying x = 21
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