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