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Simplifying 4(2x + -1X) + 1 = 2x + 2 + -5(1 + -4x) Reorder the terms: 4(-1X + 2x) + 1 = 2x + 2 + -5(1 + -4x) (-1X * 4 + 2x * 4) + 1 = 2x + 2 + -5(1 + -4x) (-4X + 8x) + 1 = 2x + 2 + -5(1 + -4x) Reorder the terms: 1 + -4X + 8x = 2x + 2 + -5(1 + -4x) 1 + -4X + 8x = 2x + 2 + (1 * -5 + -4x * -5) 1 + -4X + 8x = 2x + 2 + (-5 + 20x) Reorder the terms: 1 + -4X + 8x = 2 + -5 + 2x + 20x Combine like terms: 2 + -5 = -3 1 + -4X + 8x = -3 + 2x + 20x Combine like terms: 2x + 20x = 22x 1 + -4X + 8x = -3 + 22x Solving 1 + -4X + 8x = -3 + 22x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -4X + -1 + 8x = -3 + -1 + 22x Reorder the terms: 1 + -1 + -4X + 8x = -3 + -1 + 22x Combine like terms: 1 + -1 = 0 0 + -4X + 8x = -3 + -1 + 22x -4X + 8x = -3 + -1 + 22x Combine like terms: -3 + -1 = -4 -4X + 8x = -4 + 22x Add '-8x' to each side of the equation. -4X + 8x + -8x = -4 + 22x + -8x Combine like terms: 8x + -8x = 0 -4X + 0 = -4 + 22x + -8x -4X = -4 + 22x + -8x Combine like terms: 22x + -8x = 14x -4X = -4 + 14x Divide each side by '-4'. X = 1 + -3.5x Simplifying X = 1 + -3.5x
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