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Simplifying 2(4x + -1(-2)) + 3(2x + 5) = 0 Multiply -1 * -2 2(4x + 2) + 3(2x + 5) = 0 Reorder the terms: 2(2 + 4x) + 3(2x + 5) = 0 (2 * 2 + 4x * 2) + 3(2x + 5) = 0 (4 + 8x) + 3(2x + 5) = 0 Reorder the terms: 4 + 8x + 3(5 + 2x) = 0 4 + 8x + (5 * 3 + 2x * 3) = 0 4 + 8x + (15 + 6x) = 0 Reorder the terms: 4 + 15 + 8x + 6x = 0 Combine like terms: 4 + 15 = 19 19 + 8x + 6x = 0 Combine like terms: 8x + 6x = 14x 19 + 14x = 0 Solving 19 + 14x = 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 + 14x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 14x = 0 + -19 14x = 0 + -19 Combine like terms: 0 + -19 = -19 14x = -19 Divide each side by '14'. x = -1.357142857 Simplifying x = -1.357142857
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