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Simplifying 3[5 + -1(7x + -6)] + 7x = 0 Reorder the terms: 3[5 + -1(-6 + 7x)] + 7x = 0 3[5 + (-6 * -1 + 7x * -1)] + 7x = 0 3[5 + (6 + -7x)] + 7x = 0 Combine like terms: 5 + 6 = 11 3[11 + -7x] + 7x = 0 [11 * 3 + -7x * 3] + 7x = 0 [33 + -21x] + 7x = 0 Combine like terms: -21x + 7x = -14x 33 + -14x = 0 Solving 33 + -14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -14x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -14x = 0 + -33 -14x = 0 + -33 Combine like terms: 0 + -33 = -33 -14x = -33 Divide each side by '-14'. x = 2.357142857 Simplifying x = 2.357142857
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