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Simplifying 5(x + 1) + 7(4x + 2) = 0 Reorder the terms: 5(1 + x) + 7(4x + 2) = 0 (1 * 5 + x * 5) + 7(4x + 2) = 0 (5 + 5x) + 7(4x + 2) = 0 Reorder the terms: 5 + 5x + 7(2 + 4x) = 0 5 + 5x + (2 * 7 + 4x * 7) = 0 5 + 5x + (14 + 28x) = 0 Reorder the terms: 5 + 14 + 5x + 28x = 0 Combine like terms: 5 + 14 = 19 19 + 5x + 28x = 0 Combine like terms: 5x + 28x = 33x 19 + 33x = 0 Solving 19 + 33x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 33x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 33x = 0 + -19 33x = 0 + -19 Combine like terms: 0 + -19 = -19 33x = -19 Divide each side by '33'. x = -0.5757575758 Simplifying x = -0.5757575758
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