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Simplifying 4(3x + -9) + 9 = 3x + 5 Reorder the terms: 4(-9 + 3x) + 9 = 3x + 5 (-9 * 4 + 3x * 4) + 9 = 3x + 5 (-36 + 12x) + 9 = 3x + 5 Reorder the terms: -36 + 9 + 12x = 3x + 5 Combine like terms: -36 + 9 = -27 -27 + 12x = 3x + 5 Reorder the terms: -27 + 12x = 5 + 3x Solving -27 + 12x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -27 + 12x + -3x = 5 + 3x + -3x Combine like terms: 12x + -3x = 9x -27 + 9x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -27 + 9x = 5 + 0 -27 + 9x = 5 Add '27' to each side of the equation. -27 + 27 + 9x = 5 + 27 Combine like terms: -27 + 27 = 0 0 + 9x = 5 + 27 9x = 5 + 27 Combine like terms: 5 + 27 = 32 9x = 32 Divide each side by '9'. x = 3.555555556 Simplifying x = 3.555555556
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