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Simplifying 3x + -54 = -5x + 42 Reorder the terms: -54 + 3x = -5x + 42 Reorder the terms: -54 + 3x = 42 + -5x Solving -54 + 3x = 42 + -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. -54 + 3x + 5x = 42 + -5x + 5x Combine like terms: 3x + 5x = 8x -54 + 8x = 42 + -5x + 5x Combine like terms: -5x + 5x = 0 -54 + 8x = 42 + 0 -54 + 8x = 42 Add '54' to each side of the equation. -54 + 54 + 8x = 42 + 54 Combine like terms: -54 + 54 = 0 0 + 8x = 42 + 54 8x = 42 + 54 Combine like terms: 42 + 54 = 96 8x = 96 Divide each side by '8'. x = 12 Simplifying x = 12
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