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Simplifying 7(3x + -1) = 11x + 43 Reorder the terms: 7(-1 + 3x) = 11x + 43 (-1 * 7 + 3x * 7) = 11x + 43 (-7 + 21x) = 11x + 43 Reorder the terms: -7 + 21x = 43 + 11x Solving -7 + 21x = 43 + 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. -7 + 21x + -11x = 43 + 11x + -11x Combine like terms: 21x + -11x = 10x -7 + 10x = 43 + 11x + -11x Combine like terms: 11x + -11x = 0 -7 + 10x = 43 + 0 -7 + 10x = 43 Add '7' to each side of the equation. -7 + 7 + 10x = 43 + 7 Combine like terms: -7 + 7 = 0 0 + 10x = 43 + 7 10x = 43 + 7 Combine like terms: 43 + 7 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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