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Simplifying 2 + -6x = 4x + -78 Reorder the terms: 2 + -6x = -78 + 4x Solving 2 + -6x = -78 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + -6x + -4x = -78 + 4x + -4x Combine like terms: -6x + -4x = -10x 2 + -10x = -78 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -10x = -78 + 0 2 + -10x = -78 Add '-2' to each side of the equation. 2 + -2 + -10x = -78 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = -78 + -2 -10x = -78 + -2 Combine like terms: -78 + -2 = -80 -10x = -80 Divide each side by '-10'. x = 8 Simplifying x = 8
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