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Simplifying 2x + 42 = 8x + 78 Reorder the terms: 42 + 2x = 8x + 78 Reorder the terms: 42 + 2x = 78 + 8x Solving 42 + 2x = 78 + 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. 42 + 2x + -8x = 78 + 8x + -8x Combine like terms: 2x + -8x = -6x 42 + -6x = 78 + 8x + -8x Combine like terms: 8x + -8x = 0 42 + -6x = 78 + 0 42 + -6x = 78 Add '-42' to each side of the equation. 42 + -42 + -6x = 78 + -42 Combine like terms: 42 + -42 = 0 0 + -6x = 78 + -42 -6x = 78 + -42 Combine like terms: 78 + -42 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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