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Simplifying 2x + 54 = 8x + 42 Reorder the terms: 54 + 2x = 8x + 42 Reorder the terms: 54 + 2x = 42 + 8x Solving 54 + 2x = 42 + 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. 54 + 2x + -8x = 42 + 8x + -8x Combine like terms: 2x + -8x = -6x 54 + -6x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 54 + -6x = 42 + 0 54 + -6x = 42 Add '-54' to each side of the equation. 54 + -54 + -6x = 42 + -54 Combine like terms: 54 + -54 = 0 0 + -6x = 42 + -54 -6x = 42 + -54 Combine like terms: 42 + -54 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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