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