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Simplifying 10x + -33 = 5x + 42 Reorder the terms: -33 + 10x = 5x + 42 Reorder the terms: -33 + 10x = 42 + 5x Solving -33 + 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. -33 + 10x + -5x = 42 + 5x + -5x Combine like terms: 10x + -5x = 5x -33 + 5x = 42 + 5x + -5x Combine like terms: 5x + -5x = 0 -33 + 5x = 42 + 0 -33 + 5x = 42 Add '33' to each side of the equation. -33 + 33 + 5x = 42 + 33 Combine like terms: -33 + 33 = 0 0 + 5x = 42 + 33 5x = 42 + 33 Combine like terms: 42 + 33 = 75 5x = 75 Divide each side by '5'. x = 15 Simplifying x = 15
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