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Simplifying 2x + 27 = 7x + 12 Reorder the terms: 27 + 2x = 7x + 12 Reorder the terms: 27 + 2x = 12 + 7x Solving 27 + 2x = 12 + 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. 27 + 2x + -7x = 12 + 7x + -7x Combine like terms: 2x + -7x = -5x 27 + -5x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 27 + -5x = 12 + 0 27 + -5x = 12 Add '-27' to each side of the equation. 27 + -27 + -5x = 12 + -27 Combine like terms: 27 + -27 = 0 0 + -5x = 12 + -27 -5x = 12 + -27 Combine like terms: 12 + -27 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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