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Simplifying 7(-3x + 7) = -1(-3x + -73) Reorder the terms: 7(7 + -3x) = -1(-3x + -73) (7 * 7 + -3x * 7) = -1(-3x + -73) (49 + -21x) = -1(-3x + -73) Reorder the terms: 49 + -21x = -1(-73 + -3x) 49 + -21x = (-73 * -1 + -3x * -1) 49 + -21x = (73 + 3x) Solving 49 + -21x = 73 + 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 + -21x + -3x = 73 + 3x + -3x Combine like terms: -21x + -3x = -24x 49 + -24x = 73 + 3x + -3x Combine like terms: 3x + -3x = 0 49 + -24x = 73 + 0 49 + -24x = 73 Add '-49' to each side of the equation. 49 + -49 + -24x = 73 + -49 Combine like terms: 49 + -49 = 0 0 + -24x = 73 + -49 -24x = 73 + -49 Combine like terms: 73 + -49 = 24 -24x = 24 Divide each side by '-24'. x = -1 Simplifying x = -1
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