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Simplifying 5x + 12 = 3x + 27 Reorder the terms: 12 + 5x = 3x + 27 Reorder the terms: 12 + 5x = 27 + 3x Solving 12 + 5x = 27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 5x + -3x = 27 + 3x + -3x Combine like terms: 5x + -3x = 2x 12 + 2x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 2x = 27 + 0 12 + 2x = 27 Add '-12' to each side of the equation. 12 + -12 + 2x = 27 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 27 + -12 2x = 27 + -12 Combine like terms: 27 + -12 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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