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Simplifying 10X + 7 = 5X + 42 Reorder the terms: 7 + 10X = 5X + 42 Reorder the terms: 7 + 10X = 42 + 5X Solving 7 + 10X = 42 + 5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5X' to each side of the equation. 7 + 10X + -5X = 42 + 5X + -5X Combine like terms: 10X + -5X = 5X 7 + 5X = 42 + 5X + -5X Combine like terms: 5X + -5X = 0 7 + 5X = 42 + 0 7 + 5X = 42 Add '-7' to each side of the equation. 7 + -7 + 5X = 42 + -7 Combine like terms: 7 + -7 = 0 0 + 5X = 42 + -7 5X = 42 + -7 Combine like terms: 42 + -7 = 35 5X = 35 Divide each side by '5'. X = 7 Simplifying X = 7
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