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Simplifying 3x + 6(9x + -7) = 414 Reorder the terms: 3x + 6(-7 + 9x) = 414 3x + (-7 * 6 + 9x * 6) = 414 3x + (-42 + 54x) = 414 Reorder the terms: -42 + 3x + 54x = 414 Combine like terms: 3x + 54x = 57x -42 + 57x = 414 Solving -42 + 57x = 414 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 + 57x = 414 + 42 Combine like terms: -42 + 42 = 0 0 + 57x = 414 + 42 57x = 414 + 42 Combine like terms: 414 + 42 = 456 57x = 456 Divide each side by '57'. x = 8 Simplifying x = 8
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