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Simplifying -6 + -3x = 4x + 78 Reorder the terms: -6 + -3x = 78 + 4x Solving -6 + -3x = 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. -6 + -3x + -4x = 78 + 4x + -4x Combine like terms: -3x + -4x = -7x -6 + -7x = 78 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -7x = 78 + 0 -6 + -7x = 78 Add '6' to each side of the equation. -6 + 6 + -7x = 78 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 78 + 6 -7x = 78 + 6 Combine like terms: 78 + 6 = 84 -7x = 84 Divide each side by '-7'. x = -12 Simplifying x = -12
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