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Simplifying 9(3 + 4x) = 6x + -3(7 + -8x) (3 * 9 + 4x * 9) = 6x + -3(7 + -8x) (27 + 36x) = 6x + -3(7 + -8x) 27 + 36x = 6x + (7 * -3 + -8x * -3) 27 + 36x = 6x + (-21 + 24x) Reorder the terms: 27 + 36x = -21 + 6x + 24x Combine like terms: 6x + 24x = 30x 27 + 36x = -21 + 30x Solving 27 + 36x = -21 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 27 + 36x + -30x = -21 + 30x + -30x Combine like terms: 36x + -30x = 6x 27 + 6x = -21 + 30x + -30x Combine like terms: 30x + -30x = 0 27 + 6x = -21 + 0 27 + 6x = -21 Add '-27' to each side of the equation. 27 + -27 + 6x = -21 + -27 Combine like terms: 27 + -27 = 0 0 + 6x = -21 + -27 6x = -21 + -27 Combine like terms: -21 + -27 = -48 6x = -48 Divide each side by '6'. x = -8 Simplifying x = -8
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