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Simplifying 47 + -7x = 11x + 17 Reorder the terms: 47 + -7x = 17 + 11x Solving 47 + -7x = 17 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 47 + -7x + -11x = 17 + 11x + -11x Combine like terms: -7x + -11x = -18x 47 + -18x = 17 + 11x + -11x Combine like terms: 11x + -11x = 0 47 + -18x = 17 + 0 47 + -18x = 17 Add '-47' to each side of the equation. 47 + -47 + -18x = 17 + -47 Combine like terms: 47 + -47 = 0 0 + -18x = 17 + -47 -18x = 17 + -47 Combine like terms: 17 + -47 = -30 -18x = -30 Divide each side by '-18'. x = 1.666666667 Simplifying x = 1.666666667
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