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Simplifying 5x + -1 + 5(7x + 3) = 0 Reorder the terms: 5x + -1 + 5(3 + 7x) = 0 5x + -1 + (3 * 5 + 7x * 5) = 0 5x + -1 + (15 + 35x) = 0 Reorder the terms: -1 + 15 + 5x + 35x = 0 Combine like terms: -1 + 15 = 14 14 + 5x + 35x = 0 Combine like terms: 5x + 35x = 40x 14 + 40x = 0 Solving 14 + 40x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 40x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 40x = 0 + -14 40x = 0 + -14 Combine like terms: 0 + -14 = -14 40x = -14 Divide each side by '40'. x = -0.35 Simplifying x = -0.35
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