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Simplifying 6(2x + 7) + 12x = 0 Reorder the terms: 6(7 + 2x) + 12x = 0 (7 * 6 + 2x * 6) + 12x = 0 (42 + 12x) + 12x = 0 Combine like terms: 12x + 12x = 24x 42 + 24x = 0 Solving 42 + 24x = 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 + 24x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 24x = 0 + -42 24x = 0 + -42 Combine like terms: 0 + -42 = -42 24x = -42 Divide each side by '24'. x = -1.75 Simplifying x = -1.75
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