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Simplifying 12x + 19 = 5x + 180 Reorder the terms: 19 + 12x = 5x + 180 Reorder the terms: 19 + 12x = 180 + 5x Solving 19 + 12x = 180 + 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. 19 + 12x + -5x = 180 + 5x + -5x Combine like terms: 12x + -5x = 7x 19 + 7x = 180 + 5x + -5x Combine like terms: 5x + -5x = 0 19 + 7x = 180 + 0 19 + 7x = 180 Add '-19' to each side of the equation. 19 + -19 + 7x = 180 + -19 Combine like terms: 19 + -19 = 0 0 + 7x = 180 + -19 7x = 180 + -19 Combine like terms: 180 + -19 = 161 7x = 161 Divide each side by '7'. x = 23 Simplifying x = 23
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