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