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Simplifying 3x + -7(3x + -1(7 + -2x)) = 0 3x + -7(3x + (7 * -1 + -2x * -1)) = 0 3x + -7(3x + (-7 + 2x)) = 0 Reorder the terms: 3x + -7(-7 + 3x + 2x) = 0 Combine like terms: 3x + 2x = 5x 3x + -7(-7 + 5x) = 0 3x + (-7 * -7 + 5x * -7) = 0 3x + (49 + -35x) = 0 Reorder the terms: 49 + 3x + -35x = 0 Combine like terms: 3x + -35x = -32x 49 + -32x = 0 Solving 49 + -32x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -32x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -32x = 0 + -49 -32x = 0 + -49 Combine like terms: 0 + -49 = -49 -32x = -49 Divide each side by '-32'. x = 1.53125 Simplifying x = 1.53125
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