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Simplifying -5x + 1 = 5x + 71 Reorder the terms: 1 + -5x = 5x + 71 Reorder the terms: 1 + -5x = 71 + 5x Solving 1 + -5x = 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 + -5x + -5x = 71 + 5x + -5x Combine like terms: -5x + -5x = -10x 1 + -10x = 71 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -10x = 71 + 0 1 + -10x = 71 Add '-1' to each side of the equation. 1 + -1 + -10x = 71 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = 71 + -1 -10x = 71 + -1 Combine like terms: 71 + -1 = 70 -10x = 70 Divide each side by '-10'. x = -7 Simplifying x = -7
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