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