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Simplifying 116 + -2x = 43x + 21 Reorder the terms: 116 + -2x = 21 + 43x Solving 116 + -2x = 21 + 43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43x' to each side of the equation. 116 + -2x + -43x = 21 + 43x + -43x Combine like terms: -2x + -43x = -45x 116 + -45x = 21 + 43x + -43x Combine like terms: 43x + -43x = 0 116 + -45x = 21 + 0 116 + -45x = 21 Add '-116' to each side of the equation. 116 + -116 + -45x = 21 + -116 Combine like terms: 116 + -116 = 0 0 + -45x = 21 + -116 -45x = 21 + -116 Combine like terms: 21 + -116 = -95 -45x = -95 Divide each side by '-45'. x = 2.111111111 Simplifying x = 2.111111111
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