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Simplifying -7(x + -7) = 21 + -3x Reorder the terms: -7(-7 + x) = 21 + -3x (-7 * -7 + x * -7) = 21 + -3x (49 + -7x) = 21 + -3x Solving 49 + -7x = 21 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 49 + -7x + 3x = 21 + -3x + 3x Combine like terms: -7x + 3x = -4x 49 + -4x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 49 + -4x = 21 + 0 49 + -4x = 21 Add '-49' to each side of the equation. 49 + -49 + -4x = 21 + -49 Combine like terms: 49 + -49 = 0 0 + -4x = 21 + -49 -4x = 21 + -49 Combine like terms: 21 + -49 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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