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Simplifying -6(3x + 7) = 84 Reorder the terms: -6(7 + 3x) = 84 (7 * -6 + 3x * -6) = 84 (-42 + -18x) = 84 Solving -42 + -18x = 84 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 + -18x = 84 + 42 Combine like terms: -42 + 42 = 0 0 + -18x = 84 + 42 -18x = 84 + 42 Combine like terms: 84 + 42 = 126 -18x = 126 Divide each side by '-18'. x = -7 Simplifying x = -7
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