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Simplifying 7(6x + 15) + 7x = 0 Reorder the terms: 7(15 + 6x) + 7x = 0 (15 * 7 + 6x * 7) + 7x = 0 (105 + 42x) + 7x = 0 Combine like terms: 42x + 7x = 49x 105 + 49x = 0 Solving 105 + 49x = 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 + 49x = 0 + -105 Combine like terms: 105 + -105 = 0 0 + 49x = 0 + -105 49x = 0 + -105 Combine like terms: 0 + -105 = -105 49x = -105 Divide each side by '49'. x = -2.142857143 Simplifying x = -2.142857143
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