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Simplifying 3x + 4(4x + -9) = 97 Reorder the terms: 3x + 4(-9 + 4x) = 97 3x + (-9 * 4 + 4x * 4) = 97 3x + (-36 + 16x) = 97 Reorder the terms: -36 + 3x + 16x = 97 Combine like terms: 3x + 16x = 19x -36 + 19x = 97 Solving -36 + 19x = 97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 19x = 97 + 36 Combine like terms: -36 + 36 = 0 0 + 19x = 97 + 36 19x = 97 + 36 Combine like terms: 97 + 36 = 133 19x = 133 Divide each side by '19'. x = 7 Simplifying x = 7
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