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Simplifying 4(3x + -1) = 3 + 8x + -1 Reorder the terms: 4(-1 + 3x) = 3 + 8x + -1 (-1 * 4 + 3x * 4) = 3 + 8x + -1 (-4 + 12x) = 3 + 8x + -1 Reorder the terms: -4 + 12x = 3 + -1 + 8x Combine like terms: 3 + -1 = 2 -4 + 12x = 2 + 8x Solving -4 + 12x = 2 + 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. -4 + 12x + -8x = 2 + 8x + -8x Combine like terms: 12x + -8x = 4x -4 + 4x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + 4x = 2 + 0 -4 + 4x = 2 Add '4' to each side of the equation. -4 + 4 + 4x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 2 + 4 4x = 2 + 4 Combine like terms: 2 + 4 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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