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Simplifying 5x + -3(7 + -2)(6x + -7 + -3x) = 0 Combine like terms: 7 + -2 = 5 5x + -3(5)(6x + -7 + -3x) = 0 Reorder the terms: 5x + -3 * 5(-7 + 6x + -3x) = 0 Combine like terms: 6x + -3x = 3x 5x + -3 * 5(-7 + 3x) = 0 Multiply -3 * 5 5x + -15(-7 + 3x) = 0 5x + (-7 * -15 + 3x * -15) = 0 5x + (105 + -45x) = 0 Reorder the terms: 105 + 5x + -45x = 0 Combine like terms: 5x + -45x = -40x 105 + -40x = 0 Solving 105 + -40x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-105' to each side of the equation. 105 + -105 + -40x = 0 + -105 Combine like terms: 105 + -105 = 0 0 + -40x = 0 + -105 -40x = 0 + -105 Combine like terms: 0 + -105 = -105 -40x = -105 Divide each side by '-40'. x = 2.625 Simplifying x = 2.625
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