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Simplifying 43 = 4x + 7x + 10 Reorder the terms: 43 = 10 + 4x + 7x Combine like terms: 4x + 7x = 11x 43 = 10 + 11x Solving 43 = 10 + 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. 43 + -11x = 10 + 11x + -11x Combine like terms: 11x + -11x = 0 43 + -11x = 10 + 0 43 + -11x = 10 Add '-43' to each side of the equation. 43 + -43 + -11x = 10 + -43 Combine like terms: 43 + -43 = 0 0 + -11x = 10 + -43 -11x = 10 + -43 Combine like terms: 10 + -43 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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