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Simplifying 3x + 8 = 5x + -52 Reorder the terms: 8 + 3x = 5x + -52 Reorder the terms: 8 + 3x = -52 + 5x Solving 8 + 3x = -52 + 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. 8 + 3x + -5x = -52 + 5x + -5x Combine like terms: 3x + -5x = -2x 8 + -2x = -52 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -2x = -52 + 0 8 + -2x = -52 Add '-8' to each side of the equation. 8 + -8 + -2x = -52 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -52 + -8 -2x = -52 + -8 Combine like terms: -52 + -8 = -60 -2x = -60 Divide each side by '-2'. x = 30 Simplifying x = 30
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