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