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Simplifying 6(3x + -5) + -7x = 35 Reorder the terms: 6(-5 + 3x) + -7x = 35 (-5 * 6 + 3x * 6) + -7x = 35 (-30 + 18x) + -7x = 35 Combine like terms: 18x + -7x = 11x -30 + 11x = 35 Solving -30 + 11x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 11x = 35 + 30 Combine like terms: -30 + 30 = 0 0 + 11x = 35 + 30 11x = 35 + 30 Combine like terms: 35 + 30 = 65 11x = 65 Divide each side by '11'. x = 5.909090909 Simplifying x = 5.909090909
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