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Simplifying 6(4x + -7) = 174 Reorder the terms: 6(-7 + 4x) = 174 (-7 * 6 + 4x * 6) = 174 (-42 + 24x) = 174 Solving -42 + 24x = 174 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 = 174 + 42 Combine like terms: -42 + 42 = 0 0 + 24x = 174 + 42 24x = 174 + 42 Combine like terms: 174 + 42 = 216 24x = 216 Divide each side by '24'. x = 9 Simplifying x = 9
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