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Simplifying (6 + 2x) * 6 = 2 + (-22x) Reorder the terms for easier multiplication: 6(6 + 2x) = 2 + (-22x) (6 * 6 + 2x * 6) = 2 + (-22x) (36 + 12x) = 2 + (-22x) Solving 36 + 12x = 2 + (-22x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(22x)' to each side of the equation. 36 + 12x + (22x) = 2 + (-22x) + (22x) Combine like terms: 12x + (22x) = 34x 36 + 34x = 2 + (-22x) + (22x) Combine like terms: (-22x) + (22x) = 0 36 + 34x = 2 + 0 36 + 34x = 2 Add '-36' to each side of the equation. 36 + -36 + 34x = 2 + -36 Combine like terms: 36 + -36 = 0 0 + 34x = 2 + -36 34x = 2 + -36 Combine like terms: 2 + -36 = -34 34x = -34 Divide each side by '34'. x = -1 Simplifying x = -1
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