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Simplifying 8 + -1x + 1 = 4x + -1 + -7x Reorder the terms: 8 + 1 + -1x = 4x + -1 + -7x Combine like terms: 8 + 1 = 9 9 + -1x = 4x + -1 + -7x Reorder the terms: 9 + -1x = -1 + 4x + -7x Combine like terms: 4x + -7x = -3x 9 + -1x = -1 + -3x Solving 9 + -1x = -1 + -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. 9 + -1x + 3x = -1 + -3x + 3x Combine like terms: -1x + 3x = 2x 9 + 2x = -1 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + 2x = -1 + 0 9 + 2x = -1 Add '-9' to each side of the equation. 9 + -9 + 2x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = -1 + -9 2x = -1 + -9 Combine like terms: -1 + -9 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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