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Simplifying 9(x + 3) = 4(x + 8) Reorder the terms: 9(3 + x) = 4(x + 8) (3 * 9 + x * 9) = 4(x + 8) (27 + 9x) = 4(x + 8) Reorder the terms: 27 + 9x = 4(8 + x) 27 + 9x = (8 * 4 + x * 4) 27 + 9x = (32 + 4x) Solving 27 + 9x = 32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 27 + 9x + -4x = 32 + 4x + -4x Combine like terms: 9x + -4x = 5x 27 + 5x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + 5x = 32 + 0 27 + 5x = 32 Add '-27' to each side of the equation. 27 + -27 + 5x = 32 + -27 Combine like terms: 27 + -27 = 0 0 + 5x = 32 + -27 5x = 32 + -27 Combine like terms: 32 + -27 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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