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Simplifying 5x + 16 = 9x + -52 Reorder the terms: 16 + 5x = 9x + -52 Reorder the terms: 16 + 5x = -52 + 9x Solving 16 + 5x = -52 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 16 + 5x + -9x = -52 + 9x + -9x Combine like terms: 5x + -9x = -4x 16 + -4x = -52 + 9x + -9x Combine like terms: 9x + -9x = 0 16 + -4x = -52 + 0 16 + -4x = -52 Add '-16' to each side of the equation. 16 + -16 + -4x = -52 + -16 Combine like terms: 16 + -16 = 0 0 + -4x = -52 + -16 -4x = -52 + -16 Combine like terms: -52 + -16 = -68 -4x = -68 Divide each side by '-4'. x = 17 Simplifying x = 17
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