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Simplifying -52 + -4x = 78 + 6x Solving -52 + -4x = 78 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -52 + -4x + -6x = 78 + 6x + -6x Combine like terms: -4x + -6x = -10x -52 + -10x = 78 + 6x + -6x Combine like terms: 6x + -6x = 0 -52 + -10x = 78 + 0 -52 + -10x = 78 Add '52' to each side of the equation. -52 + 52 + -10x = 78 + 52 Combine like terms: -52 + 52 = 0 0 + -10x = 78 + 52 -10x = 78 + 52 Combine like terms: 78 + 52 = 130 -10x = 130 Divide each side by '-10'. x = -13 Simplifying x = -13
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