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Simplifying 3x(x + 2) = 3(x2 + 14) Reorder the terms: 3x(2 + x) = 3(x2 + 14) (2 * 3x + x * 3x) = 3(x2 + 14) (6x + 3x2) = 3(x2 + 14) Reorder the terms: 6x + 3x2 = 3(14 + x2) 6x + 3x2 = (14 * 3 + x2 * 3) 6x + 3x2 = (42 + 3x2) Add '-3x2' to each side of the equation. 6x + 3x2 + -3x2 = 42 + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 6x + 0 = 42 + 3x2 + -3x2 6x = 42 + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 6x = 42 + 0 6x = 42 Solving 6x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '6'. x = 7 Simplifying x = 7
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