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Simplifying 8x + -1(4x + 1) = 4(2x + -1) Reorder the terms: 8x + -1(1 + 4x) = 4(2x + -1) 8x + (1 * -1 + 4x * -1) = 4(2x + -1) 8x + (-1 + -4x) = 4(2x + -1) Reorder the terms: -1 + 8x + -4x = 4(2x + -1) Combine like terms: 8x + -4x = 4x -1 + 4x = 4(2x + -1) Reorder the terms: -1 + 4x = 4(-1 + 2x) -1 + 4x = (-1 * 4 + 2x * 4) -1 + 4x = (-4 + 8x) Solving -1 + 4x = -4 + 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. -1 + 4x + -8x = -4 + 8x + -8x Combine like terms: 4x + -8x = -4x -1 + -4x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + -4x = -4 + 0 -1 + -4x = -4 Add '1' to each side of the equation. -1 + 1 + -4x = -4 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = -4 + 1 -4x = -4 + 1 Combine like terms: -4 + 1 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75
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