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Simplifying 2(2x + 8) = 2(3x + 6) Reorder the terms: 2(8 + 2x) = 2(3x + 6) (8 * 2 + 2x * 2) = 2(3x + 6) (16 + 4x) = 2(3x + 6) Reorder the terms: 16 + 4x = 2(6 + 3x) 16 + 4x = (6 * 2 + 3x * 2) 16 + 4x = (12 + 6x) Solving 16 + 4x = 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. 16 + 4x + -6x = 12 + 6x + -6x Combine like terms: 4x + -6x = -2x 16 + -2x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + -2x = 12 + 0 16 + -2x = 12 Add '-16' to each side of the equation. 16 + -16 + -2x = 12 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = 12 + -16 -2x = 12 + -16 Combine like terms: 12 + -16 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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