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Simplifying 46 + -7x = 11x + 16 Reorder the terms: 46 + -7x = 16 + 11x Solving 46 + -7x = 16 + 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. 46 + -7x + -11x = 16 + 11x + -11x Combine like terms: -7x + -11x = -18x 46 + -18x = 16 + 11x + -11x Combine like terms: 11x + -11x = 0 46 + -18x = 16 + 0 46 + -18x = 16 Add '-46' to each side of the equation. 46 + -46 + -18x = 16 + -46 Combine like terms: 46 + -46 = 0 0 + -18x = 16 + -46 -18x = 16 + -46 Combine like terms: 16 + -46 = -30 -18x = -30 Divide each side by '-18'. x = 1.666666667 Simplifying x = 1.666666667
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