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Simplifying 6(6x + -7) + 14x = 0 Reorder the terms: 6(-7 + 6x) + 14x = 0 (-7 * 6 + 6x * 6) + 14x = 0 (-42 + 36x) + 14x = 0 Combine like terms: 36x + 14x = 50x -42 + 50x = 0 Solving -42 + 50x = 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 + 50x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 50x = 0 + 42 50x = 0 + 42 Combine like terms: 0 + 42 = 42 50x = 42 Divide each side by '50'. x = 0.84 Simplifying x = 0.84
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