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Simplifying 13x + 19 = 4x + 289 Reorder the terms: 19 + 13x = 4x + 289 Reorder the terms: 19 + 13x = 289 + 4x Solving 19 + 13x = 289 + 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. 19 + 13x + -4x = 289 + 4x + -4x Combine like terms: 13x + -4x = 9x 19 + 9x = 289 + 4x + -4x Combine like terms: 4x + -4x = 0 19 + 9x = 289 + 0 19 + 9x = 289 Add '-19' to each side of the equation. 19 + -19 + 9x = 289 + -19 Combine like terms: 19 + -19 = 0 0 + 9x = 289 + -19 9x = 289 + -19 Combine like terms: 289 + -19 = 270 9x = 270 Divide each side by '9'. x = 30 Simplifying x = 30
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