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Simplifying 4(3x + -1) = 5 + -1(8x + 4) Reorder the terms: 4(-1 + 3x) = 5 + -1(8x + 4) (-1 * 4 + 3x * 4) = 5 + -1(8x + 4) (-4 + 12x) = 5 + -1(8x + 4) Reorder the terms: -4 + 12x = 5 + -1(4 + 8x) -4 + 12x = 5 + (4 * -1 + 8x * -1) -4 + 12x = 5 + (-4 + -8x) Combine like terms: 5 + -4 = 1 -4 + 12x = 1 + -8x Solving -4 + 12x = 1 + -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 = 1 + -8x + 8x Combine like terms: 12x + 8x = 20x -4 + 20x = 1 + -8x + 8x Combine like terms: -8x + 8x = 0 -4 + 20x = 1 + 0 -4 + 20x = 1 Add '4' to each side of the equation. -4 + 4 + 20x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 20x = 1 + 4 20x = 1 + 4 Combine like terms: 1 + 4 = 5 20x = 5 Divide each side by '20'. x = 0.25 Simplifying x = 0.25
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