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Simplifying 6(4x + -7) = 78 Reorder the terms: 6(-7 + 4x) = 78 (-7 * 6 + 4x * 6) = 78 (-42 + 24x) = 78 Solving -42 + 24x = 78 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 = 78 + 42 Combine like terms: -42 + 42 = 0 0 + 24x = 78 + 42 24x = 78 + 42 Combine like terms: 78 + 42 = 120 24x = 120 Divide each side by '24'. x = 5 Simplifying x = 5
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