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Simplifying 7(5x + 7) = 7(-9x + -3) Reorder the terms: 7(7 + 5x) = 7(-9x + -3) (7 * 7 + 5x * 7) = 7(-9x + -3) (49 + 35x) = 7(-9x + -3) Reorder the terms: 49 + 35x = 7(-3 + -9x) 49 + 35x = (-3 * 7 + -9x * 7) 49 + 35x = (-21 + -63x) Solving 49 + 35x = -21 + -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 + 35x + 63x = -21 + -63x + 63x Combine like terms: 35x + 63x = 98x 49 + 98x = -21 + -63x + 63x Combine like terms: -63x + 63x = 0 49 + 98x = -21 + 0 49 + 98x = -21 Add '-49' to each side of the equation. 49 + -49 + 98x = -21 + -49 Combine like terms: 49 + -49 = 0 0 + 98x = -21 + -49 98x = -21 + -49 Combine like terms: -21 + -49 = -70 98x = -70 Divide each side by '98'. x = -0.7142857143 Simplifying x = -0.7142857143
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