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Simplifying 3(9 + 8x + -4x) + 8(3x + 4) = 23 Combine like terms: 8x + -4x = 4x 3(9 + 4x) + 8(3x + 4) = 23 (9 * 3 + 4x * 3) + 8(3x + 4) = 23 (27 + 12x) + 8(3x + 4) = 23 Reorder the terms: 27 + 12x + 8(4 + 3x) = 23 27 + 12x + (4 * 8 + 3x * 8) = 23 27 + 12x + (32 + 24x) = 23 Reorder the terms: 27 + 32 + 12x + 24x = 23 Combine like terms: 27 + 32 = 59 59 + 12x + 24x = 23 Combine like terms: 12x + 24x = 36x 59 + 36x = 23 Solving 59 + 36x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + -59 + 36x = 23 + -59 Combine like terms: 59 + -59 = 0 0 + 36x = 23 + -59 36x = 23 + -59 Combine like terms: 23 + -59 = -36 36x = -36 Divide each side by '36'. x = -1 Simplifying x = -1
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