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Simplifying -9 + 7(5x + -3) = -9 + -5(7x + 4) Reorder the terms: -9 + 7(-3 + 5x) = -9 + -5(7x + 4) -9 + (-3 * 7 + 5x * 7) = -9 + -5(7x + 4) -9 + (-21 + 35x) = -9 + -5(7x + 4) Combine like terms: -9 + -21 = -30 -30 + 35x = -9 + -5(7x + 4) Reorder the terms: -30 + 35x = -9 + -5(4 + 7x) -30 + 35x = -9 + (4 * -5 + 7x * -5) -30 + 35x = -9 + (-20 + -35x) Combine like terms: -9 + -20 = -29 -30 + 35x = -29 + -35x Solving -30 + 35x = -29 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -30 + 35x + 35x = -29 + -35x + 35x Combine like terms: 35x + 35x = 70x -30 + 70x = -29 + -35x + 35x Combine like terms: -35x + 35x = 0 -30 + 70x = -29 + 0 -30 + 70x = -29 Add '30' to each side of the equation. -30 + 30 + 70x = -29 + 30 Combine like terms: -30 + 30 = 0 0 + 70x = -29 + 30 70x = -29 + 30 Combine like terms: -29 + 30 = 1 70x = 1 Divide each side by '70'. x = 0.01428571429 Simplifying x = 0.01428571429
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