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Simplifying 10x + 78 = 3x + 92 Reorder the terms: 78 + 10x = 3x + 92 Reorder the terms: 78 + 10x = 92 + 3x Solving 78 + 10x = 92 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 78 + 10x + -3x = 92 + 3x + -3x Combine like terms: 10x + -3x = 7x 78 + 7x = 92 + 3x + -3x Combine like terms: 3x + -3x = 0 78 + 7x = 92 + 0 78 + 7x = 92 Add '-78' to each side of the equation. 78 + -78 + 7x = 92 + -78 Combine like terms: 78 + -78 = 0 0 + 7x = 92 + -78 7x = 92 + -78 Combine like terms: 92 + -78 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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