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Simplifying -35 = 5x + 6(-2x + 7) Reorder the terms: -35 = 5x + 6(7 + -2x) -35 = 5x + (7 * 6 + -2x * 6) -35 = 5x + (42 + -12x) Reorder the terms: -35 = 42 + 5x + -12x Combine like terms: 5x + -12x = -7x -35 = 42 + -7x Solving -35 = 42 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -35 + 7x = 42 + -7x + 7x Combine like terms: -7x + 7x = 0 -35 + 7x = 42 + 0 -35 + 7x = 42 Add '35' to each side of the equation. -35 + 35 + 7x = 42 + 35 Combine like terms: -35 + 35 = 0 0 + 7x = 42 + 35 7x = 42 + 35 Combine like terms: 42 + 35 = 77 7x = 77 Divide each side by '7'. x = 11 Simplifying x = 11
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