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Simplifying -9 + 7(5x + -4) = 2 + -5(7x + -5) Reorder the terms: -9 + 7(-4 + 5x) = 2 + -5(7x + -5) -9 + (-4 * 7 + 5x * 7) = 2 + -5(7x + -5) -9 + (-28 + 35x) = 2 + -5(7x + -5) Combine like terms: -9 + -28 = -37 -37 + 35x = 2 + -5(7x + -5) Reorder the terms: -37 + 35x = 2 + -5(-5 + 7x) -37 + 35x = 2 + (-5 * -5 + 7x * -5) -37 + 35x = 2 + (25 + -35x) Combine like terms: 2 + 25 = 27 -37 + 35x = 27 + -35x Solving -37 + 35x = 27 + -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. -37 + 35x + 35x = 27 + -35x + 35x Combine like terms: 35x + 35x = 70x -37 + 70x = 27 + -35x + 35x Combine like terms: -35x + 35x = 0 -37 + 70x = 27 + 0 -37 + 70x = 27 Add '37' to each side of the equation. -37 + 37 + 70x = 27 + 37 Combine like terms: -37 + 37 = 0 0 + 70x = 27 + 37 70x = 27 + 37 Combine like terms: 27 + 37 = 64 70x = 64 Divide each side by '70'. x = 0.9142857143 Simplifying x = 0.9142857143
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