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Simplifying -6(7 + -4x) = 102 (7 * -6 + -4x * -6) = 102 (-42 + 24x) = 102 Solving -42 + 24x = 102 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 + 24x = 102 + 42 Combine like terms: -42 + 42 = 0 0 + 24x = 102 + 42 24x = 102 + 42 Combine like terms: 102 + 42 = 144 24x = 144 Divide each side by '24'. x = 6 Simplifying x = 6
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