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Simplifying (11x + -47) = (6x + -2) Reorder the terms: (-47 + 11x) = (6x + -2) Remove parenthesis around (-47 + 11x) -47 + 11x = (6x + -2) Reorder the terms: -47 + 11x = (-2 + 6x) Remove parenthesis around (-2 + 6x) -47 + 11x = -2 + 6x Solving -47 + 11x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -47 + 11x + -6x = -2 + 6x + -6x Combine like terms: 11x + -6x = 5x -47 + 5x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -47 + 5x = -2 + 0 -47 + 5x = -2 Add '47' to each side of the equation. -47 + 47 + 5x = -2 + 47 Combine like terms: -47 + 47 = 0 0 + 5x = -2 + 47 5x = -2 + 47 Combine like terms: -2 + 47 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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