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Simplifying -6(8x + 7) = 486 Reorder the terms: -6(7 + 8x) = 486 (7 * -6 + 8x * -6) = 486 (-42 + -48x) = 486 Solving -42 + -48x = 486 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 + -48x = 486 + 42 Combine like terms: -42 + 42 = 0 0 + -48x = 486 + 42 -48x = 486 + 42 Combine like terms: 486 + 42 = 528 -48x = 528 Divide each side by '-48'. x = -11 Simplifying x = -11
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