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Simplifying 3x(2x + 7) = 6x2 + 14x + -7 Reorder the terms: 3x(7 + 2x) = 6x2 + 14x + -7 (7 * 3x + 2x * 3x) = 6x2 + 14x + -7 (21x + 6x2) = 6x2 + 14x + -7 Reorder the terms: 21x + 6x2 = -7 + 14x + 6x2 Add '-6x2' to each side of the equation. 21x + 6x2 + -6x2 = -7 + 14x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 21x + 0 = -7 + 14x + 6x2 + -6x2 21x = -7 + 14x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 21x = -7 + 14x + 0 21x = -7 + 14x Solving 21x = -7 + 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. 21x + -14x = -7 + 14x + -14x Combine like terms: 21x + -14x = 7x 7x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 7x = -7 + 0 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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