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Simplifying -4x + -52 = 78 + 9x Reorder the terms: -52 + -4x = 78 + 9x Solving -52 + -4x = 78 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -52 + -4x + -9x = 78 + 9x + -9x Combine like terms: -4x + -9x = -13x -52 + -13x = 78 + 9x + -9x Combine like terms: 9x + -9x = 0 -52 + -13x = 78 + 0 -52 + -13x = 78 Add '52' to each side of the equation. -52 + 52 + -13x = 78 + 52 Combine like terms: -52 + 52 = 0 0 + -13x = 78 + 52 -13x = 78 + 52 Combine like terms: 78 + 52 = 130 -13x = 130 Divide each side by '-13'. x = -10 Simplifying x = -10
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