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Simplifying 13x + 16 = 4x + 277 Reorder the terms: 16 + 13x = 4x + 277 Reorder the terms: 16 + 13x = 277 + 4x Solving 16 + 13x = 277 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 16 + 13x + -4x = 277 + 4x + -4x Combine like terms: 13x + -4x = 9x 16 + 9x = 277 + 4x + -4x Combine like terms: 4x + -4x = 0 16 + 9x = 277 + 0 16 + 9x = 277 Add '-16' to each side of the equation. 16 + -16 + 9x = 277 + -16 Combine like terms: 16 + -16 = 0 0 + 9x = 277 + -16 9x = 277 + -16 Combine like terms: 277 + -16 = 261 9x = 261 Divide each side by '9'. x = 29 Simplifying x = 29
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