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Simplifying 3(x + 9) = 4(2x + 1) Reorder the terms: 3(9 + x) = 4(2x + 1) (9 * 3 + x * 3) = 4(2x + 1) (27 + 3x) = 4(2x + 1) Reorder the terms: 27 + 3x = 4(1 + 2x) 27 + 3x = (1 * 4 + 2x * 4) 27 + 3x = (4 + 8x) Solving 27 + 3x = 4 + 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 = 4 + 8x + -8x Combine like terms: 3x + -8x = -5x 27 + -5x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 27 + -5x = 4 + 0 27 + -5x = 4 Add '-27' to each side of the equation. 27 + -27 + -5x = 4 + -27 Combine like terms: 27 + -27 = 0 0 + -5x = 4 + -27 -5x = 4 + -27 Combine like terms: 4 + -27 = -23 -5x = -23 Divide each side by '-5'. x = 4.6 Simplifying x = 4.6
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