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Simplifying 7x + 43 = 3x + 11 Reorder the terms: 43 + 7x = 3x + 11 Reorder the terms: 43 + 7x = 11 + 3x Solving 43 + 7x = 11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 43 + 7x + -3x = 11 + 3x + -3x Combine like terms: 7x + -3x = 4x 43 + 4x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 43 + 4x = 11 + 0 43 + 4x = 11 Add '-43' to each side of the equation. 43 + -43 + 4x = 11 + -43 Combine like terms: 43 + -43 = 0 0 + 4x = 11 + -43 4x = 11 + -43 Combine like terms: 11 + -43 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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