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Simplifying 6x + 11 = 2x + 47 Reorder the terms: 11 + 6x = 2x + 47 Reorder the terms: 11 + 6x = 47 + 2x Solving 11 + 6x = 47 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 11 + 6x + -2x = 47 + 2x + -2x Combine like terms: 6x + -2x = 4x 11 + 4x = 47 + 2x + -2x Combine like terms: 2x + -2x = 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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