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Simplifying -5x + 42 = 3x + -54 Reorder the terms: 42 + -5x = 3x + -54 Reorder the terms: 42 + -5x = -54 + 3x Solving 42 + -5x = -54 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 42 + -5x + -3x = -54 + 3x + -3x Combine like terms: -5x + -3x = -8x 42 + -8x = -54 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + -8x = -54 + 0 42 + -8x = -54 Add '-42' to each side of the equation. 42 + -42 + -8x = -54 + -42 Combine like terms: 42 + -42 = 0 0 + -8x = -54 + -42 -8x = -54 + -42 Combine like terms: -54 + -42 = -96 -8x = -96 Divide each side by '-8'. x = 12 Simplifying x = 12
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