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Simplifying 35x + -6(3x + 7) = 43 Reorder the terms: 35x + -6(7 + 3x) = 43 35x + (7 * -6 + 3x * -6) = 43 35x + (-42 + -18x) = 43 Reorder the terms: -42 + 35x + -18x = 43 Combine like terms: 35x + -18x = 17x -42 + 17x = 43 Solving -42 + 17x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 17x = 43 + 42 Combine like terms: -42 + 42 = 0 0 + 17x = 43 + 42 17x = 43 + 42 Combine like terms: 43 + 42 = 85 17x = 85 Divide each side by '17'. x = 5 Simplifying x = 5
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