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Simplifying x + 71 = -5x + -7 Reorder the terms: 71 + x = -5x + -7 Reorder the terms: 71 + x = -7 + -5x Solving 71 + x = -7 + -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. 71 + x + 5x = -7 + -5x + 5x Combine like terms: x + 5x = 6x 71 + 6x = -7 + -5x + 5x Combine like terms: -5x + 5x = 0 71 + 6x = -7 + 0 71 + 6x = -7 Add '-71' to each side of the equation. 71 + -71 + 6x = -7 + -71 Combine like terms: 71 + -71 = 0 0 + 6x = -7 + -71 6x = -7 + -71 Combine like terms: -7 + -71 = -78 6x = -78 Divide each side by '6'. x = -13 Simplifying x = -13
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