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Simplifying 2(6x + 14) = 7(2x + 4) Reorder the terms: 2(14 + 6x) = 7(2x + 4) (14 * 2 + 6x * 2) = 7(2x + 4) (28 + 12x) = 7(2x + 4) Reorder the terms: 28 + 12x = 7(4 + 2x) 28 + 12x = (4 * 7 + 2x * 7) 28 + 12x = (28 + 14x) Add '-28' to each side of the equation. 28 + -28 + 12x = 28 + -28 + 14x Combine like terms: 28 + -28 = 0 0 + 12x = 28 + -28 + 14x 12x = 28 + -28 + 14x Combine like terms: 28 + -28 = 0 12x = 0 + 14x 12x = 14x Solving 12x = 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. 12x + -14x = 14x + -14x Combine like terms: 12x + -14x = -2x -2x = 14x + -14x Combine like terms: 14x + -14x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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