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Simplifying 6x + 43 + -7x = -50(x + 18) Reorder the terms: 43 + 6x + -7x = -50(x + 18) Combine like terms: 6x + -7x = -1x 43 + -1x = -50(x + 18) Reorder the terms: 43 + -1x = -50(18 + x) 43 + -1x = (18 * -50 + x * -50) 43 + -1x = (-900 + -50x) Solving 43 + -1x = -900 + -50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50x' to each side of the equation. 43 + -1x + 50x = -900 + -50x + 50x Combine like terms: -1x + 50x = 49x 43 + 49x = -900 + -50x + 50x Combine like terms: -50x + 50x = 0 43 + 49x = -900 + 0 43 + 49x = -900 Add '-43' to each side of the equation. 43 + -43 + 49x = -900 + -43 Combine like terms: 43 + -43 = 0 0 + 49x = -900 + -43 49x = -900 + -43 Combine like terms: -900 + -43 = -943 49x = -943 Divide each side by '49'. x = -19.24489796 Simplifying x = -19.24489796
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