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Simplifying 3(4x + -1) = 8x + 17 Reorder the terms: 3(-1 + 4x) = 8x + 17 (-1 * 3 + 4x * 3) = 8x + 17 (-3 + 12x) = 8x + 17 Reorder the terms: -3 + 12x = 17 + 8x Solving -3 + 12x = 17 + 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. -3 + 12x + -8x = 17 + 8x + -8x Combine like terms: 12x + -8x = 4x -3 + 4x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + 4x = 17 + 0 -3 + 4x = 17 Add '3' to each side of the equation. -3 + 3 + 4x = 17 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 17 + 3 4x = 17 + 3 Combine like terms: 17 + 3 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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