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Simplifying 3(x + 9) = 8x + -23 Reorder the terms: 3(9 + x) = 8x + -23 (9 * 3 + x * 3) = 8x + -23 (27 + 3x) = 8x + -23 Reorder the terms: 27 + 3x = -23 + 8x Solving 27 + 3x = -23 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 27 + 3x + -8x = -23 + 8x + -8x Combine like terms: 3x + -8x = -5x 27 + -5x = -23 + 8x + -8x Combine like terms: 8x + -8x = 0 27 + -5x = -23 + 0 27 + -5x = -23 Add '-27' to each side of the equation. 27 + -27 + -5x = -23 + -27 Combine like terms: 27 + -27 = 0 0 + -5x = -23 + -27 -5x = -23 + -27 Combine like terms: -23 + -27 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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