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Simplifying 2 + -3 + 8x + -5 + x + -4x + -1 = 6x + -12 + -3x + -1X + 17 Reorder the terms: 2 + -3 + -5 + -1 + 8x + x + -4x = 6x + -12 + -3x + -1X + 17 Combine like terms: 2 + -3 = -1 -1 + -5 + -1 + 8x + x + -4x = 6x + -12 + -3x + -1X + 17 Combine like terms: -1 + -5 = -6 -6 + -1 + 8x + x + -4x = 6x + -12 + -3x + -1X + 17 Combine like terms: -6 + -1 = -7 -7 + 8x + x + -4x = 6x + -12 + -3x + -1X + 17 Combine like terms: 8x + x = 9x -7 + 9x + -4x = 6x + -12 + -3x + -1X + 17 Combine like terms: 9x + -4x = 5x -7 + 5x = 6x + -12 + -3x + -1X + 17 Reorder the terms: -7 + 5x = -12 + 17 + -1X + 6x + -3x Combine like terms: -12 + 17 = 5 -7 + 5x = 5 + -1X + 6x + -3x Combine like terms: 6x + -3x = 3x -7 + 5x = 5 + -1X + 3x Solving -7 + 5x = 5 + -1X + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + 5x + -3x = 5 + -1X + 3x + -3x Combine like terms: 5x + -3x = 2x -7 + 2x = 5 + -1X + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 2x = 5 + -1X + 0 -7 + 2x = 5 + -1X Add '7' to each side of the equation. -7 + 7 + 2x = 5 + 7 + -1X Combine like terms: -7 + 7 = 0 0 + 2x = 5 + 7 + -1X 2x = 5 + 7 + -1X Combine like terms: 5 + 7 = 12 2x = 12 + -1X Divide each side by '2'. x = 6 + -0.5X Simplifying x = 6 + -0.5X
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