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Simplifying 7(3x + 10) + -12x = 0 Reorder the terms: 7(10 + 3x) + -12x = 0 (10 * 7 + 3x * 7) + -12x = 0 (70 + 21x) + -12x = 0 Combine like terms: 21x + -12x = 9x 70 + 9x = 0 Solving 70 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + 9x = 0 + -70 Combine like terms: 70 + -70 = 0 0 + 9x = 0 + -70 9x = 0 + -70 Combine like terms: 0 + -70 = -70 9x = -70 Divide each side by '9'. x = -7.777777778 Simplifying x = -7.777777778
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