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Simplifying (10x + 46) + (5x + 71) = x Reorder the terms: (46 + 10x) + (5x + 71) = x Remove parenthesis around (46 + 10x) 46 + 10x + (5x + 71) = x Reorder the terms: 46 + 10x + (71 + 5x) = x Remove parenthesis around (71 + 5x) 46 + 10x + 71 + 5x = x Reorder the terms: 46 + 71 + 10x + 5x = x Combine like terms: 46 + 71 = 117 117 + 10x + 5x = x Combine like terms: 10x + 5x = 15x 117 + 15x = x Solving 117 + 15x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 117 + 15x + -1x = x + -1x Combine like terms: 15x + -1x = 14x 117 + 14x = x + -1x Combine like terms: x + -1x = 0 117 + 14x = 0 Add '-117' to each side of the equation. 117 + -117 + 14x = 0 + -117 Combine like terms: 117 + -117 = 0 0 + 14x = 0 + -117 14x = 0 + -117 Combine like terms: 0 + -117 = -117 14x = -117 Divide each side by '14'. x = -8.357142857 Simplifying x = -8.357142857
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