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Simplifying 4(2x + 6) = 2x Reorder the terms: 4(6 + 2x) = 2x (6 * 4 + 2x * 4) = 2x (24 + 8x) = 2x Solving 24 + 8x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + 8x + -2x = 2x + -2x Combine like terms: 8x + -2x = 6x 24 + 6x = 2x + -2x Combine like terms: 2x + -2x = 0 24 + 6x = 0 Add '-24' to each side of the equation. 24 + -24 + 6x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 0 + -24 6x = 0 + -24 Combine like terms: 0 + -24 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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