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Simplifying -8 + -7x + -7 + -1[2 + -1(2X + -4)] = 4 + -1[X + -1(4 + -5X)] Reorder the terms: -8 + -7x + -7 + -1[2 + -1(-4 + 2X)] = 4 + -1[X + -1(4 + -5X)] -8 + -7x + -7 + -1[2 + (-4 * -1 + 2X * -1)] = 4 + -1[X + -1(4 + -5X)] -8 + -7x + -7 + -1[2 + (4 + -2X)] = 4 + -1[X + -1(4 + -5X)] Combine like terms: 2 + 4 = 6 -8 + -7x + -7 + -1[6 + -2X] = 4 + -1[X + -1(4 + -5X)] -8 + -7x + -7 + [6 * -1 + -2X * -1] = 4 + -1[X + -1(4 + -5X)] -8 + -7x + -7 + [-6 + 2X] = 4 + -1[X + -1(4 + -5X)] Reorder the terms: -8 + -7 + -6 + 2X + -7x = 4 + -1[X + -1(4 + -5X)] Combine like terms: -8 + -7 = -15 -15 + -6 + 2X + -7x = 4 + -1[X + -1(4 + -5X)] Combine like terms: -15 + -6 = -21 -21 + 2X + -7x = 4 + -1[X + -1(4 + -5X)] -21 + 2X + -7x = 4 + -1[X + (4 * -1 + -5X * -1)] -21 + 2X + -7x = 4 + -1[X + (-4 + 5X)] Reorder the terms: -21 + 2X + -7x = 4 + -1[-4 + X + 5X] Combine like terms: X + 5X = 6X -21 + 2X + -7x = 4 + -1[-4 + 6X] -21 + 2X + -7x = 4 + [-4 * -1 + 6X * -1] -21 + 2X + -7x = 4 + [4 + -6X] Combine like terms: 4 + 4 = 8 -21 + 2X + -7x = 8 + -6X Solving -21 + 2X + -7x = 8 + -6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6X' to each side of the equation. -21 + 2X + 6X + -7x = 8 + -6X + 6X Combine like terms: 2X + 6X = 8X -21 + 8X + -7x = 8 + -6X + 6X Combine like terms: -6X + 6X = 0 -21 + 8X + -7x = 8 + 0 -21 + 8X + -7x = 8 Add '21' to each side of the equation. -21 + 8X + 21 + -7x = 8 + 21 Reorder the terms: -21 + 21 + 8X + -7x = 8 + 21 Combine like terms: -21 + 21 = 0 0 + 8X + -7x = 8 + 21 8X + -7x = 8 + 21 Combine like terms: 8 + 21 = 29 8X + -7x = 29 Add '7x' to each side of the equation. 8X + -7x + 7x = 29 + 7x Combine like terms: -7x + 7x = 0 8X + 0 = 29 + 7x 8X = 29 + 7x Divide each side by '8'. X = 3.625 + 0.875x Simplifying X = 3.625 + 0.875x
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