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Simplifying 4(5x + 2) = 3(4x + 17) Reorder the terms: 4(2 + 5x) = 3(4x + 17) (2 * 4 + 5x * 4) = 3(4x + 17) (8 + 20x) = 3(4x + 17) Reorder the terms: 8 + 20x = 3(17 + 4x) 8 + 20x = (17 * 3 + 4x * 3) 8 + 20x = (51 + 12x) Solving 8 + 20x = 51 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + 20x + -12x = 51 + 12x + -12x Combine like terms: 20x + -12x = 8x 8 + 8x = 51 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + 8x = 51 + 0 8 + 8x = 51 Add '-8' to each side of the equation. 8 + -8 + 8x = 51 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 51 + -8 8x = 51 + -8 Combine like terms: 51 + -8 = 43 8x = 43 Divide each side by '8'. x = 5.375 Simplifying x = 5.375
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