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Simplifying -6(3x + 7) = -47 Reorder the terms: -6(7 + 3x) = -47 (7 * -6 + 3x * -6) = -47 (-42 + -18x) = -47 Solving -42 + -18x = -47 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 = -47 + 42 Combine like terms: -42 + 42 = 0 0 + -18x = -47 + 42 -18x = -47 + 42 Combine like terms: -47 + 42 = -5 -18x = -5 Divide each side by '-18'. x = 0.2777777778 Simplifying x = 0.2777777778
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