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Simplifying 7(x + 5) + 5(2x + 1) = 0 Reorder the terms: 7(5 + x) + 5(2x + 1) = 0 (5 * 7 + x * 7) + 5(2x + 1) = 0 (35 + 7x) + 5(2x + 1) = 0 Reorder the terms: 35 + 7x + 5(1 + 2x) = 0 35 + 7x + (1 * 5 + 2x * 5) = 0 35 + 7x + (5 + 10x) = 0 Reorder the terms: 35 + 5 + 7x + 10x = 0 Combine like terms: 35 + 5 = 40 40 + 7x + 10x = 0 Combine like terms: 7x + 10x = 17x 40 + 17x = 0 Solving 40 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 17x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 17x = 0 + -40 17x = 0 + -40 Combine like terms: 0 + -40 = -40 17x = -40 Divide each side by '17'. x = -2.352941176 Simplifying x = -2.352941176
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