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Simplifying 12x + 13 = 5x + 202 Reorder the terms: 13 + 12x = 5x + 202 Reorder the terms: 13 + 12x = 202 + 5x Solving 13 + 12x = 202 + 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. 13 + 12x + -5x = 202 + 5x + -5x Combine like terms: 12x + -5x = 7x 13 + 7x = 202 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + 7x = 202 + 0 13 + 7x = 202 Add '-13' to each side of the equation. 13 + -13 + 7x = 202 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = 202 + -13 7x = 202 + -13 Combine like terms: 202 + -13 = 189 7x = 189 Divide each side by '7'. x = 27 Simplifying x = 27
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