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Simplifying 5x + 11 = 9x + 47 Reorder the terms: 11 + 5x = 9x + 47 Reorder the terms: 11 + 5x = 47 + 9x Solving 11 + 5x = 47 + 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. 11 + 5x + -9x = 47 + 9x + -9x Combine like terms: 5x + -9x = -4x 11 + -4x = 47 + 9x + -9x Combine like terms: 9x + -9x = 0 11 + -4x = 47 + 0 11 + -4x = 47 Add '-11' to each side of the equation. 11 + -11 + -4x = 47 + -11 Combine like terms: 11 + -11 = 0 0 + -4x = 47 + -11 -4x = 47 + -11 Combine like terms: 47 + -11 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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