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Simplifying 2(4x + 6) = 14x Reorder the terms: 2(6 + 4x) = 14x (6 * 2 + 4x * 2) = 14x (12 + 8x) = 14x Solving 12 + 8x = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 12 + 8x + -14x = 14x + -14x Combine like terms: 8x + -14x = -6x 12 + -6x = 14x + -14x Combine like terms: 14x + -14x = 0 12 + -6x = 0 Add '-12' to each side of the equation. 12 + -12 + -6x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = 0 + -12 -6x = 0 + -12 Combine like terms: 0 + -12 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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