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Simplifying (3 + -7x) + 2(5x + 1) = 0 Remove parenthesis around (3 + -7x) 3 + -7x + 2(5x + 1) = 0 Reorder the terms: 3 + -7x + 2(1 + 5x) = 0 3 + -7x + (1 * 2 + 5x * 2) = 0 3 + -7x + (2 + 10x) = 0 Reorder the terms: 3 + 2 + -7x + 10x = 0 Combine like terms: 3 + 2 = 5 5 + -7x + 10x = 0 Combine like terms: -7x + 10x = 3x 5 + 3x = 0 Solving 5 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667
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