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Simplifying -4x + -52 = 5x + -7 Reorder the terms: -52 + -4x = 5x + -7 Reorder the terms: -52 + -4x = -7 + 5x Solving -52 + -4x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -52 + -4x + -5x = -7 + 5x + -5x Combine like terms: -4x + -5x = -9x -52 + -9x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -52 + -9x = -7 + 0 -52 + -9x = -7 Add '52' to each side of the equation. -52 + 52 + -9x = -7 + 52 Combine like terms: -52 + 52 = 0 0 + -9x = -7 + 52 -9x = -7 + 52 Combine like terms: -7 + 52 = 45 -9x = 45 Divide each side by '-9'. x = -5 Simplifying x = -5
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