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Simplifying -1x + 6x + -1 + 5 = -5x + 8x + -2 Reorder the terms: -1 + 5 + -1x + 6x = -5x + 8x + -2 Combine like terms: -1 + 5 = 4 4 + -1x + 6x = -5x + 8x + -2 Combine like terms: -1x + 6x = 5x 4 + 5x = -5x + 8x + -2 Reorder the terms: 4 + 5x = -2 + -5x + 8x Combine like terms: -5x + 8x = 3x 4 + 5x = -2 + 3x Solving 4 + 5x = -2 + 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. 4 + 5x + -3x = -2 + 3x + -3x Combine like terms: 5x + -3x = 2x 4 + 2x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 2x = -2 + 0 4 + 2x = -2 Add '-4' to each side of the equation. 4 + -4 + 2x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = -2 + -4 2x = -2 + -4 Combine like terms: -2 + -4 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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