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Simplifying 8x + 78 = 2x + 42 Reorder the terms: 78 + 8x = 2x + 42 Reorder the terms: 78 + 8x = 42 + 2x Solving 78 + 8x = 42 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 78 + 8x + -2x = 42 + 2x + -2x Combine like terms: 8x + -2x = 6x 78 + 6x = 42 + 2x + -2x Combine like terms: 2x + -2x = 0 78 + 6x = 42 + 0 78 + 6x = 42 Add '-78' to each side of the equation. 78 + -78 + 6x = 42 + -78 Combine like terms: 78 + -78 = 0 0 + 6x = 42 + -78 6x = 42 + -78 Combine like terms: 42 + -78 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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