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Simplifying 7x + 27 = 4x + 12 Reorder the terms: 27 + 7x = 4x + 12 Reorder the terms: 27 + 7x = 12 + 4x Solving 27 + 7x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 27 + 7x + -4x = 12 + 4x + -4x Combine like terms: 7x + -4x = 3x 27 + 3x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + 3x = 12 + 0 27 + 3x = 12 Add '-27' to each side of the equation. 27 + -27 + 3x = 12 + -27 Combine like terms: 27 + -27 = 0 0 + 3x = 12 + -27 3x = 12 + -27 Combine like terms: 12 + -27 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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