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Simplifying -7(x + -5) = -21 + 7x Reorder the terms: -7(-5 + x) = -21 + 7x (-5 * -7 + x * -7) = -21 + 7x (35 + -7x) = -21 + 7x Solving 35 + -7x = -21 + 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 + -7x = -21 + 7x + -7x Combine like terms: -7x + -7x = -14x 35 + -14x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 35 + -14x = -21 + 0 35 + -14x = -21 Add '-35' to each side of the equation. 35 + -35 + -14x = -21 + -35 Combine like terms: 35 + -35 = 0 0 + -14x = -21 + -35 -14x = -21 + -35 Combine like terms: -21 + -35 = -56 -14x = -56 Divide each side by '-14'. x = 4 Simplifying x = 4
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