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Simplifying 2 + 3(x + 8) = 4(2x + 1) Reorder the terms: 2 + 3(8 + x) = 4(2x + 1) 2 + (8 * 3 + x * 3) = 4(2x + 1) 2 + (24 + 3x) = 4(2x + 1) Combine like terms: 2 + 24 = 26 26 + 3x = 4(2x + 1) Reorder the terms: 26 + 3x = 4(1 + 2x) 26 + 3x = (1 * 4 + 2x * 4) 26 + 3x = (4 + 8x) Solving 26 + 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. 26 + 3x + -8x = 4 + 8x + -8x Combine like terms: 3x + -8x = -5x 26 + -5x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 26 + -5x = 4 + 0 26 + -5x = 4 Add '-26' to each side of the equation. 26 + -26 + -5x = 4 + -26 Combine like terms: 26 + -26 = 0 0 + -5x = 4 + -26 -5x = 4 + -26 Combine like terms: 4 + -26 = -22 -5x = -22 Divide each side by '-5'. x = 4.4 Simplifying x = 4.4
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