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Simplifying -6(-7x + 1) + -6 = 282 Reorder the terms: -6(1 + -7x) + -6 = 282 (1 * -6 + -7x * -6) + -6 = 282 (-6 + 42x) + -6 = 282 Reorder the terms: -6 + -6 + 42x = 282 Combine like terms: -6 + -6 = -12 -12 + 42x = 282 Solving -12 + 42x = 282 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 42x = 282 + 12 Combine like terms: -12 + 12 = 0 0 + 42x = 282 + 12 42x = 282 + 12 Combine like terms: 282 + 12 = 294 42x = 294 Divide each side by '42'. x = 7 Simplifying x = 7
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