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Simplifying 2(4x + -1) + 3(3x + 2) = 0 Reorder the terms: 2(-1 + 4x) + 3(3x + 2) = 0 (-1 * 2 + 4x * 2) + 3(3x + 2) = 0 (-2 + 8x) + 3(3x + 2) = 0 Reorder the terms: -2 + 8x + 3(2 + 3x) = 0 -2 + 8x + (2 * 3 + 3x * 3) = 0 -2 + 8x + (6 + 9x) = 0 Reorder the terms: -2 + 6 + 8x + 9x = 0 Combine like terms: -2 + 6 = 4 4 + 8x + 9x = 0 Combine like terms: 8x + 9x = 17x 4 + 17x = 0 Solving 4 + 17x = 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 + 17x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 17x = 0 + -4 17x = 0 + -4 Combine like terms: 0 + -4 = -4 17x = -4 Divide each side by '17'. x = -0.2352941176 Simplifying x = -0.2352941176
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