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Simplifying 2(x + 6) = (2x) + (x * 6) Reorder the terms: 2(6 + x) = (2x) + (x * 6) (6 * 2 + x * 2) = (2x) + (x * 6) (12 + 2x) = (2x) + (x * 6) Reorder the terms for easier multiplication: 12 + 2x = (2x) + (6x) Combine like terms: (2x) + (6x) = 8x 12 + 2x = 8x Solving 12 + 2x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + 2x + -8x = 8x + -8x Combine like terms: 2x + -8x = -6x 12 + -6x = 8x + -8x Combine like terms: 8x + -8x = 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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