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Simplifying -6x + -78 = 42 + 2x Reorder the terms: -78 + -6x = 42 + 2x Solving -78 + -6x = 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 + -6x + -2x = 42 + 2x + -2x Combine like terms: -6x + -2x = -8x -78 + -8x = 42 + 2x + -2x Combine like terms: 2x + -2x = 0 -78 + -8x = 42 + 0 -78 + -8x = 42 Add '78' to each side of the equation. -78 + 78 + -8x = 42 + 78 Combine like terms: -78 + 78 = 0 0 + -8x = 42 + 78 -8x = 42 + 78 Combine like terms: 42 + 78 = 120 -8x = 120 Divide each side by '-8'. x = -15 Simplifying x = -15
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