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