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Simplifying -6(7 + -2x) = 5x + -21 (7 * -6 + -2x * -6) = 5x + -21 (-42 + 12x) = 5x + -21 Reorder the terms: -42 + 12x = -21 + 5x Solving -42 + 12x = -21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -42 + 12x + -5x = -21 + 5x + -5x Combine like terms: 12x + -5x = 7x -42 + 7x = -21 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + 7x = -21 + 0 -42 + 7x = -21 Add '42' to each side of the equation. -42 + 42 + 7x = -21 + 42 Combine like terms: -42 + 42 = 0 0 + 7x = -21 + 42 7x = -21 + 42 Combine like terms: -21 + 42 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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