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