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Simplifying 4x + 1 = -5x + -71 Reorder the terms: 1 + 4x = -5x + -71 Reorder the terms: 1 + 4x = -71 + -5x Solving 1 + 4x = -71 + -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 + 4x + 5x = -71 + -5x + 5x Combine like terms: 4x + 5x = 9x 1 + 9x = -71 + -5x + 5x Combine like terms: -5x + 5x = 0 1 + 9x = -71 + 0 1 + 9x = -71 Add '-1' to each side of the equation. 1 + -1 + 9x = -71 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = -71 + -1 9x = -71 + -1 Combine like terms: -71 + -1 = -72 9x = -72 Divide each side by '9'. x = -8 Simplifying x = -8
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