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Simplifying 2(x + 4) = 2(2x + 6) Reorder the terms: 2(4 + x) = 2(2x + 6) (4 * 2 + x * 2) = 2(2x + 6) (8 + 2x) = 2(2x + 6) Reorder the terms: 8 + 2x = 2(6 + 2x) 8 + 2x = (6 * 2 + 2x * 2) 8 + 2x = (12 + 4x) Solving 8 + 2x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 2x + -4x = 12 + 4x + -4x Combine like terms: 2x + -4x = -2x 8 + -2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -2x = 12 + 0 8 + -2x = 12 Add '-8' to each side of the equation. 8 + -8 + -2x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 12 + -8 -2x = 12 + -8 Combine like terms: 12 + -8 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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