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Simplifying 10x + -12 = 5x + 23 Reorder the terms: -12 + 10x = 5x + 23 Reorder the terms: -12 + 10x = 23 + 5x Solving -12 + 10x = 23 + 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. -12 + 10x + -5x = 23 + 5x + -5x Combine like terms: 10x + -5x = 5x -12 + 5x = 23 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 5x = 23 + 0 -12 + 5x = 23 Add '12' to each side of the equation. -12 + 12 + 5x = 23 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 23 + 12 5x = 23 + 12 Combine like terms: 23 + 12 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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