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Simplifying 3(4x + -1) = 8(x + 3) + 1 Reorder the terms: 3(-1 + 4x) = 8(x + 3) + 1 (-1 * 3 + 4x * 3) = 8(x + 3) + 1 (-3 + 12x) = 8(x + 3) + 1 Reorder the terms: -3 + 12x = 8(3 + x) + 1 -3 + 12x = (3 * 8 + x * 8) + 1 -3 + 12x = (24 + 8x) + 1 Reorder the terms: -3 + 12x = 24 + 1 + 8x Combine like terms: 24 + 1 = 25 -3 + 12x = 25 + 8x Solving -3 + 12x = 25 + 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 = 25 + 8x + -8x Combine like terms: 12x + -8x = 4x -3 + 4x = 25 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + 4x = 25 + 0 -3 + 4x = 25 Add '3' to each side of the equation. -3 + 3 + 4x = 25 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 25 + 3 4x = 25 + 3 Combine like terms: 25 + 3 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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