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Simplifying 2(4x + 1) + (5x + 2) = 0 Reorder the terms: 2(1 + 4x) + (5x + 2) = 0 (1 * 2 + 4x * 2) + (5x + 2) = 0 (2 + 8x) + (5x + 2) = 0 Reorder the terms: 2 + 8x + (2 + 5x) = 0 Remove parenthesis around (2 + 5x) 2 + 8x + 2 + 5x = 0 Reorder the terms: 2 + 2 + 8x + 5x = 0 Combine like terms: 2 + 2 = 4 4 + 8x + 5x = 0 Combine like terms: 8x + 5x = 13x 4 + 13x = 0 Solving 4 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 13x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 13x = 0 + -4 13x = 0 + -4 Combine like terms: 0 + -4 = -4 13x = -4 Divide each side by '13'. x = -0.3076923077 Simplifying x = -0.3076923077
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