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Simplifying 10x + -75 = 5x + 30 Reorder the terms: -75 + 10x = 5x + 30 Reorder the terms: -75 + 10x = 30 + 5x Solving -75 + 10x = 30 + 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. -75 + 10x + -5x = 30 + 5x + -5x Combine like terms: 10x + -5x = 5x -75 + 5x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 -75 + 5x = 30 + 0 -75 + 5x = 30 Add '75' to each side of the equation. -75 + 75 + 5x = 30 + 75 Combine like terms: -75 + 75 = 0 0 + 5x = 30 + 75 5x = 30 + 75 Combine like terms: 30 + 75 = 105 5x = 105 Divide each side by '5'. x = 21 Simplifying x = 21
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