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Simplifying 8x + -78 = x + 41 Reorder the terms: -78 + 8x = x + 41 Reorder the terms: -78 + 8x = 41 + x Solving -78 + 8x = 41 + 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. -78 + 8x + -1x = 41 + x + -1x Combine like terms: 8x + -1x = 7x -78 + 7x = 41 + x + -1x Combine like terms: x + -1x = 0 -78 + 7x = 41 + 0 -78 + 7x = 41 Add '78' to each side of the equation. -78 + 78 + 7x = 41 + 78 Combine like terms: -78 + 78 = 0 0 + 7x = 41 + 78 7x = 41 + 78 Combine like terms: 41 + 78 = 119 7x = 119 Divide each side by '7'. x = 17 Simplifying x = 17
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