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Simplifying 12x + 19 = 7x + 154 Reorder the terms: 19 + 12x = 7x + 154 Reorder the terms: 19 + 12x = 154 + 7x Solving 19 + 12x = 154 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 19 + 12x + -7x = 154 + 7x + -7x Combine like terms: 12x + -7x = 5x 19 + 5x = 154 + 7x + -7x Combine like terms: 7x + -7x = 0 19 + 5x = 154 + 0 19 + 5x = 154 Add '-19' to each side of the equation. 19 + -19 + 5x = 154 + -19 Combine like terms: 19 + -19 = 0 0 + 5x = 154 + -19 5x = 154 + -19 Combine like terms: 154 + -19 = 135 5x = 135 Divide each side by '5'. x = 27 Simplifying x = 27
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