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Simplifying 2(x + 6) = 2(3x + 2) Reorder the terms: 2(6 + x) = 2(3x + 2) (6 * 2 + x * 2) = 2(3x + 2) (12 + 2x) = 2(3x + 2) Reorder the terms: 12 + 2x = 2(2 + 3x) 12 + 2x = (2 * 2 + 3x * 2) 12 + 2x = (4 + 6x) Solving 12 + 2x = 4 + 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 + 2x + -6x = 4 + 6x + -6x Combine like terms: 2x + -6x = -4x 12 + -4x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -4x = 4 + 0 12 + -4x = 4 Add '-12' to each side of the equation. 12 + -12 + -4x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 4 + -12 -4x = 4 + -12 Combine like terms: 4 + -12 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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