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Simplifying -52 + -7x = 8x + 23 Reorder the terms: -52 + -7x = 23 + 8x Solving -52 + -7x = 23 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -52 + -7x + -8x = 23 + 8x + -8x Combine like terms: -7x + -8x = -15x -52 + -15x = 23 + 8x + -8x Combine like terms: 8x + -8x = 0 -52 + -15x = 23 + 0 -52 + -15x = 23 Add '52' to each side of the equation. -52 + 52 + -15x = 23 + 52 Combine like terms: -52 + 52 = 0 0 + -15x = 23 + 52 -15x = 23 + 52 Combine like terms: 23 + 52 = 75 -15x = 75 Divide each side by '-15'. x = -5 Simplifying x = -5
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