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Simplifying 4x + 5x + -52 = 39 + -4x Reorder the terms: -52 + 4x + 5x = 39 + -4x Combine like terms: 4x + 5x = 9x -52 + 9x = 39 + -4x Solving -52 + 9x = 39 + -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. -52 + 9x + 4x = 39 + -4x + 4x Combine like terms: 9x + 4x = 13x -52 + 13x = 39 + -4x + 4x Combine like terms: -4x + 4x = 0 -52 + 13x = 39 + 0 -52 + 13x = 39 Add '52' to each side of the equation. -52 + 52 + 13x = 39 + 52 Combine like terms: -52 + 52 = 0 0 + 13x = 39 + 52 13x = 39 + 52 Combine like terms: 39 + 52 = 91 13x = 91 Divide each side by '13'. x = 7 Simplifying x = 7
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