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Simplifying 6(-9 + 7x) = 282 (-9 * 6 + 7x * 6) = 282 (-54 + 42x) = 282 Solving -54 + 42x = 282 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 42x = 282 + 54 Combine like terms: -54 + 54 = 0 0 + 42x = 282 + 54 42x = 282 + 54 Combine like terms: 282 + 54 = 336 42x = 336 Divide each side by '42'. x = 8 Simplifying x = 8
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