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Simplifying 6x + -5 + 9 = 3(9x + 4) Reorder the terms: -5 + 9 + 6x = 3(9x + 4) Combine like terms: -5 + 9 = 4 4 + 6x = 3(9x + 4) Reorder the terms: 4 + 6x = 3(4 + 9x) 4 + 6x = (4 * 3 + 9x * 3) 4 + 6x = (12 + 27x) Solving 4 + 6x = 12 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 4 + 6x + -27x = 12 + 27x + -27x Combine like terms: 6x + -27x = -21x 4 + -21x = 12 + 27x + -27x Combine like terms: 27x + -27x = 0 4 + -21x = 12 + 0 4 + -21x = 12 Add '-4' to each side of the equation. 4 + -4 + -21x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -21x = 12 + -4 -21x = 12 + -4 Combine like terms: 12 + -4 = 8 -21x = 8 Divide each side by '-21'. x = -0.380952381 Simplifying x = -0.380952381
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