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Simplifying 2x(4) = 6(x + 2) Reorder the terms for easier multiplication: 2 * 4x = 6(x + 2) Multiply 2 * 4 8x = 6(x + 2) Reorder the terms: 8x = 6(2 + x) 8x = (2 * 6 + x * 6) 8x = (12 + 6x) Solving 8x = 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. 8x + -6x = 12 + 6x + -6x Combine like terms: 8x + -6x = 2x 2x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 2x = 12 + 0 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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