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Simplifying 8x + 27 = 4x + 55 Reorder the terms: 27 + 8x = 4x + 55 Reorder the terms: 27 + 8x = 55 + 4x Solving 27 + 8x = 55 + 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 + 8x + -4x = 55 + 4x + -4x Combine like terms: 8x + -4x = 4x 27 + 4x = 55 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + 4x = 55 + 0 27 + 4x = 55 Add '-27' to each side of the equation. 27 + -27 + 4x = 55 + -27 Combine like terms: 27 + -27 = 0 0 + 4x = 55 + -27 4x = 55 + -27 Combine like terms: 55 + -27 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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