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Simplifying 12x + 10 = 5x + 52 Reorder the terms: 10 + 12x = 5x + 52 Reorder the terms: 10 + 12x = 52 + 5x Solving 10 + 12x = 52 + 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. 10 + 12x + -5x = 52 + 5x + -5x Combine like terms: 12x + -5x = 7x 10 + 7x = 52 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + 7x = 52 + 0 10 + 7x = 52 Add '-10' to each side of the equation. 10 + -10 + 7x = 52 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 52 + -10 7x = 52 + -10 Combine like terms: 52 + -10 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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