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Simplifying 5x + 52 = 360 + -8x + -17 + 5x + 52 Reorder the terms: 52 + 5x = 360 + -8x + -17 + 5x + 52 Reorder the terms: 52 + 5x = 360 + -17 + 52 + -8x + 5x Combine like terms: 360 + -17 = 343 52 + 5x = 343 + 52 + -8x + 5x Combine like terms: 343 + 52 = 395 52 + 5x = 395 + -8x + 5x Combine like terms: -8x + 5x = -3x 52 + 5x = 395 + -3x Solving 52 + 5x = 395 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 52 + 5x + 3x = 395 + -3x + 3x Combine like terms: 5x + 3x = 8x 52 + 8x = 395 + -3x + 3x Combine like terms: -3x + 3x = 0 52 + 8x = 395 + 0 52 + 8x = 395 Add '-52' to each side of the equation. 52 + -52 + 8x = 395 + -52 Combine like terms: 52 + -52 = 0 0 + 8x = 395 + -52 8x = 395 + -52 Combine like terms: 395 + -52 = 343 8x = 343 Divide each side by '8'. x = 42.875 Simplifying x = 42.875
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