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Simplifying 3x + 27 = 8x + -48 Reorder the terms: 27 + 3x = 8x + -48 Reorder the terms: 27 + 3x = -48 + 8x Solving 27 + 3x = -48 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 27 + 3x + -8x = -48 + 8x + -8x Combine like terms: 3x + -8x = -5x 27 + -5x = -48 + 8x + -8x Combine like terms: 8x + -8x = 0 27 + -5x = -48 + 0 27 + -5x = -48 Add '-27' to each side of the equation. 27 + -27 + -5x = -48 + -27 Combine like terms: 27 + -27 = 0 0 + -5x = -48 + -27 -5x = -48 + -27 Combine like terms: -48 + -27 = -75 -5x = -75 Divide each side by '-5'. x = 15 Simplifying x = 15
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