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Simplifying 6(3x + 7) + -12x = 0 Reorder the terms: 6(7 + 3x) + -12x = 0 (7 * 6 + 3x * 6) + -12x = 0 (42 + 18x) + -12x = 0 Combine like terms: 18x + -12x = 6x 42 + 6x = 0 Solving 42 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 6x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 6x = 0 + -42 6x = 0 + -42 Combine like terms: 0 + -42 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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