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Simplifying 10x + 12 = 5x + 17 Reorder the terms: 12 + 10x = 5x + 17 Reorder the terms: 12 + 10x = 17 + 5x Solving 12 + 10x = 17 + 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 = 17 + 5x + -5x Combine like terms: 10x + -5x = 5x 12 + 5x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 5x = 17 + 0 12 + 5x = 17 Add '-12' to each side of the equation. 12 + -12 + 5x = 17 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 17 + -12 5x = 17 + -12 Combine like terms: 17 + -12 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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