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Simplifying [x + -5] = 3x + 1 Reorder the terms: [-5 + x] = 3x + 1 Remove brackets around [-5 + x] -5 + x = 3x + 1 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 = -2x -5 + -2x = 1 + 3x + -3x Combine like terms: 3x + -3x = 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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