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