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Simplifying -7(2x + -7) = 21(3x + -5) Reorder the terms: -7(-7 + 2x) = 21(3x + -5) (-7 * -7 + 2x * -7) = 21(3x + -5) (49 + -14x) = 21(3x + -5) Reorder the terms: 49 + -14x = 21(-5 + 3x) 49 + -14x = (-5 * 21 + 3x * 21) 49 + -14x = (-105 + 63x) Solving 49 + -14x = -105 + 63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63x' to each side of the equation. 49 + -14x + -63x = -105 + 63x + -63x Combine like terms: -14x + -63x = -77x 49 + -77x = -105 + 63x + -63x Combine like terms: 63x + -63x = 0 49 + -77x = -105 + 0 49 + -77x = -105 Add '-49' to each side of the equation. 49 + -49 + -77x = -105 + -49 Combine like terms: 49 + -49 = 0 0 + -77x = -105 + -49 -77x = -105 + -49 Combine like terms: -105 + -49 = -154 -77x = -154 Divide each side by '-77'. x = 2 Simplifying x = 2
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