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Simplifying 3x + 27 = 5x + 12 Reorder the terms: 27 + 3x = 5x + 12 Reorder the terms: 27 + 3x = 12 + 5x Solving 27 + 3x = 12 + 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. 27 + 3x + -5x = 12 + 5x + -5x Combine like terms: 3x + -5x = -2x 27 + -2x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 27 + -2x = 12 + 0 27 + -2x = 12 Add '-27' to each side of the equation. 27 + -27 + -2x = 12 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = 12 + -27 -2x = 12 + -27 Combine like terms: 12 + -27 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5
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