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Simplifying 6(2x + -7) = 42 Reorder the terms: 6(-7 + 2x) = 42 (-7 * 6 + 2x * 6) = 42 (-42 + 12x) = 42 Solving -42 + 12x = 42 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 + 12x = 42 + 42 Combine like terms: -42 + 42 = 0 0 + 12x = 42 + 42 12x = 42 + 42 Combine like terms: 42 + 42 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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