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Simplifying 2(3 + 6x) = 14x + -8 (3 * 2 + 6x * 2) = 14x + -8 (6 + 12x) = 14x + -8 Reorder the terms: 6 + 12x = -8 + 14x Solving 6 + 12x = -8 + 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. 6 + 12x + -14x = -8 + 14x + -14x Combine like terms: 12x + -14x = -2x 6 + -2x = -8 + 14x + -14x Combine like terms: 14x + -14x = 0 6 + -2x = -8 + 0 6 + -2x = -8 Add '-6' to each side of the equation. 6 + -6 + -2x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -8 + -6 -2x = -8 + -6 Combine like terms: -8 + -6 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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