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Simplifying -71 + 10x = 5x + 19 Reorder the terms: -71 + 10x = 19 + 5x Solving -71 + 10x = 19 + 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 + 10x + -5x = 19 + 5x + -5x Combine like terms: 10x + -5x = 5x -71 + 5x = 19 + 5x + -5x Combine like terms: 5x + -5x = 0 -71 + 5x = 19 + 0 -71 + 5x = 19 Add '71' to each side of the equation. -71 + 71 + 5x = 19 + 71 Combine like terms: -71 + 71 = 0 0 + 5x = 19 + 71 5x = 19 + 71 Combine like terms: 19 + 71 = 90 5x = 90 Divide each side by '5'. x = 18 Simplifying x = 18
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