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Simplifying 7x + -78 = 24 + 1x Reorder the terms: -78 + 7x = 24 + 1x Solving -78 + 7x = 24 + 1x 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 + 7x + -1x = 24 + 1x + -1x Combine like terms: 7x + -1x = 6x -78 + 6x = 24 + 1x + -1x Combine like terms: 1x + -1x = 0 -78 + 6x = 24 + 0 -78 + 6x = 24 Add '78' to each side of the equation. -78 + 78 + 6x = 24 + 78 Combine like terms: -78 + 78 = 0 0 + 6x = 24 + 78 6x = 24 + 78 Combine like terms: 24 + 78 = 102 6x = 102 Divide each side by '6'. x = 17 Simplifying x = 17
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