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Simplifying -7(-3x + -7) = -4(-5x + 4) Reorder the terms: -7(-7 + -3x) = -4(-5x + 4) (-7 * -7 + -3x * -7) = -4(-5x + 4) (49 + 21x) = -4(-5x + 4) Reorder the terms: 49 + 21x = -4(4 + -5x) 49 + 21x = (4 * -4 + -5x * -4) 49 + 21x = (-16 + 20x) Solving 49 + 21x = -16 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 49 + 21x + -20x = -16 + 20x + -20x Combine like terms: 21x + -20x = 1x 49 + 1x = -16 + 20x + -20x Combine like terms: 20x + -20x = 0 49 + 1x = -16 + 0 49 + 1x = -16 Add '-49' to each side of the equation. 49 + -49 + 1x = -16 + -49 Combine like terms: 49 + -49 = 0 0 + 1x = -16 + -49 1x = -16 + -49 Combine like terms: -16 + -49 = -65 1x = -65 Divide each side by '1'. x = -65 Simplifying x = -65
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