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Simplifying 3(5x + 1) + -2(7x + -1) = 0 Reorder the terms: 3(1 + 5x) + -2(7x + -1) = 0 (1 * 3 + 5x * 3) + -2(7x + -1) = 0 (3 + 15x) + -2(7x + -1) = 0 Reorder the terms: 3 + 15x + -2(-1 + 7x) = 0 3 + 15x + (-1 * -2 + 7x * -2) = 0 3 + 15x + (2 + -14x) = 0 Reorder the terms: 3 + 2 + 15x + -14x = 0 Combine like terms: 3 + 2 = 5 5 + 15x + -14x = 0 Combine like terms: 15x + -14x = 1x 5 + 1x = 0 Solving 5 + 1x = 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 + 1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 0 + -5 1x = 0 + -5 Combine like terms: 0 + -5 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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