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Simplifying 3x + 1 = -6x + -71 Reorder the terms: 1 + 3x = -6x + -71 Reorder the terms: 1 + 3x = -71 + -6x Solving 1 + 3x = -71 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 1 + 3x + 6x = -71 + -6x + 6x Combine like terms: 3x + 6x = 9x 1 + 9x = -71 + -6x + 6x Combine like terms: -6x + 6x = 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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