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Simplifying 10x + 5 = 3x + 75 Reorder the terms: 5 + 10x = 3x + 75 Reorder the terms: 5 + 10x = 75 + 3x Solving 5 + 10x = 75 + 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. 5 + 10x + -3x = 75 + 3x + -3x Combine like terms: 10x + -3x = 7x 5 + 7x = 75 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 7x = 75 + 0 5 + 7x = 75 Add '-5' to each side of the equation. 5 + -5 + 7x = 75 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 75 + -5 7x = 75 + -5 Combine like terms: 75 + -5 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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