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Simplifying 4x + 3(6x + -9) = 171 Reorder the terms: 4x + 3(-9 + 6x) = 171 4x + (-9 * 3 + 6x * 3) = 171 4x + (-27 + 18x) = 171 Reorder the terms: -27 + 4x + 18x = 171 Combine like terms: 4x + 18x = 22x -27 + 22x = 171 Solving -27 + 22x = 171 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 22x = 171 + 27 Combine like terms: -27 + 27 = 0 0 + 22x = 171 + 27 22x = 171 + 27 Combine like terms: 171 + 27 = 198 22x = 198 Divide each side by '22'. x = 9 Simplifying x = 9
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