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Simplifying 4x + 27 = 2x + 45 Reorder the terms: 27 + 4x = 2x + 45 Reorder the terms: 27 + 4x = 45 + 2x Solving 27 + 4x = 45 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 27 + 4x + -2x = 45 + 2x + -2x Combine like terms: 4x + -2x = 2x 27 + 2x = 45 + 2x + -2x Combine like terms: 2x + -2x = 0 27 + 2x = 45 + 0 27 + 2x = 45 Add '-27' to each side of the equation. 27 + -27 + 2x = 45 + -27 Combine like terms: 27 + -27 = 0 0 + 2x = 45 + -27 2x = 45 + -27 Combine like terms: 45 + -27 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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