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Simplifying 7(5x + -6) = -462 Reorder the terms: 7(-6 + 5x) = -462 (-6 * 7 + 5x * 7) = -462 (-42 + 35x) = -462 Solving -42 + 35x = -462 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 + 35x = -462 + 42 Combine like terms: -42 + 42 = 0 0 + 35x = -462 + 42 35x = -462 + 42 Combine like terms: -462 + 42 = -420 35x = -420 Divide each side by '35'. x = -12 Simplifying x = -12
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