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Simplifying 4x = 9 + 4(3x + -9) Reorder the terms: 4x = 9 + 4(-9 + 3x) 4x = 9 + (-9 * 4 + 3x * 4) 4x = 9 + (-36 + 12x) Combine like terms: 9 + -36 = -27 4x = -27 + 12x Solving 4x = -27 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 4x + -12x = -27 + 12x + -12x Combine like terms: 4x + -12x = -8x -8x = -27 + 12x + -12x Combine like terms: 12x + -12x = 0 -8x = -27 + 0 -8x = -27 Divide each side by '-8'. x = 3.375 Simplifying x = 3.375
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