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Simplifying 2(6x + 14) = 7(8x + 12) Reorder the terms: 2(14 + 6x) = 7(8x + 12) (14 * 2 + 6x * 2) = 7(8x + 12) (28 + 12x) = 7(8x + 12) Reorder the terms: 28 + 12x = 7(12 + 8x) 28 + 12x = (12 * 7 + 8x * 7) 28 + 12x = (84 + 56x) Solving 28 + 12x = 84 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. 28 + 12x + -56x = 84 + 56x + -56x Combine like terms: 12x + -56x = -44x 28 + -44x = 84 + 56x + -56x Combine like terms: 56x + -56x = 0 28 + -44x = 84 + 0 28 + -44x = 84 Add '-28' to each side of the equation. 28 + -28 + -44x = 84 + -28 Combine like terms: 28 + -28 = 0 0 + -44x = 84 + -28 -44x = 84 + -28 Combine like terms: 84 + -28 = 56 -44x = 56 Divide each side by '-44'. x = -1.272727273 Simplifying x = -1.272727273
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