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Simplifying 10x + -3 = 5x + 12 Reorder the terms: -3 + 10x = 5x + 12 Reorder the terms: -3 + 10x = 12 + 5x Solving -3 + 10x = 12 + 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. -3 + 10x + -5x = 12 + 5x + -5x Combine like terms: 10x + -5x = 5x -3 + 5x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 5x = 12 + 0 -3 + 5x = 12 Add '3' to each side of the equation. -3 + 3 + 5x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 12 + 3 5x = 12 + 3 Combine like terms: 12 + 3 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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