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Simplifying 7x(2 + x) + -7x(x + 3) = 14 (2 * 7x + x * 7x) + -7x(x + 3) = 14 (14x + 7x2) + -7x(x + 3) = 14 Reorder the terms: 14x + 7x2 + -7x(3 + x) = 14 14x + 7x2 + (3 * -7x + x * -7x) = 14 14x + 7x2 + (-21x + -7x2) = 14 Reorder the terms: 14x + -21x + 7x2 + -7x2 = 14 Combine like terms: 14x + -21x = -7x -7x + 7x2 + -7x2 = 14 Combine like terms: 7x2 + -7x2 = 0 -7x + 0 = 14 -7x = 14 Solving -7x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-7'. x = -2 Simplifying x = -2
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