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Simplifying 5(7x + 3) = -35(x + -2) Reorder the terms: 5(3 + 7x) = -35(x + -2) (3 * 5 + 7x * 5) = -35(x + -2) (15 + 35x) = -35(x + -2) Reorder the terms: 15 + 35x = -35(-2 + x) 15 + 35x = (-2 * -35 + x * -35) 15 + 35x = (70 + -35x) Solving 15 + 35x = 70 + -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. 15 + 35x + 35x = 70 + -35x + 35x Combine like terms: 35x + 35x = 70x 15 + 70x = 70 + -35x + 35x Combine like terms: -35x + 35x = 0 15 + 70x = 70 + 0 15 + 70x = 70 Add '-15' to each side of the equation. 15 + -15 + 70x = 70 + -15 Combine like terms: 15 + -15 = 0 0 + 70x = 70 + -15 70x = 70 + -15 Combine like terms: 70 + -15 = 55 70x = 55 Divide each side by '70'. x = 0.7857142857 Simplifying x = 0.7857142857
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