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Simplifying 6x + 47 = 9x + 11 Reorder the terms: 47 + 6x = 9x + 11 Reorder the terms: 47 + 6x = 11 + 9x Solving 47 + 6x = 11 + 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. 47 + 6x + -9x = 11 + 9x + -9x Combine like terms: 6x + -9x = -3x 47 + -3x = 11 + 9x + -9x Combine like terms: 9x + -9x = 0 47 + -3x = 11 + 0 47 + -3x = 11 Add '-47' to each side of the equation. 47 + -47 + -3x = 11 + -47 Combine like terms: 47 + -47 = 0 0 + -3x = 11 + -47 -3x = 11 + -47 Combine like terms: 11 + -47 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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