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Simplifying -5x + -71 = 7x + 109 Reorder the terms: -71 + -5x = 7x + 109 Reorder the terms: -71 + -5x = 109 + 7x Solving -71 + -5x = 109 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -71 + -5x + -7x = 109 + 7x + -7x Combine like terms: -5x + -7x = -12x -71 + -12x = 109 + 7x + -7x Combine like terms: 7x + -7x = 0 -71 + -12x = 109 + 0 -71 + -12x = 109 Add '71' to each side of the equation. -71 + 71 + -12x = 109 + 71 Combine like terms: -71 + 71 = 0 0 + -12x = 109 + 71 -12x = 109 + 71 Combine like terms: 109 + 71 = 180 -12x = 180 Divide each side by '-12'. x = -15 Simplifying x = -15
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