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Simplifying -81 + 8x = x + 178 Reorder the terms: -81 + 8x = 178 + x Solving -81 + 8x = 178 + 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. -81 + 8x + -1x = 178 + x + -1x Combine like terms: 8x + -1x = 7x -81 + 7x = 178 + x + -1x Combine like terms: x + -1x = 0 -81 + 7x = 178 + 0 -81 + 7x = 178 Add '81' to each side of the equation. -81 + 81 + 7x = 178 + 81 Combine like terms: -81 + 81 = 0 0 + 7x = 178 + 81 7x = 178 + 81 Combine like terms: 178 + 81 = 259 7x = 259 Divide each side by '7'. x = 37 Simplifying x = 37
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