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Simplifying 4(2 + -3x) + 5(4x + 1) = 0 (2 * 4 + -3x * 4) + 5(4x + 1) = 0 (8 + -12x) + 5(4x + 1) = 0 Reorder the terms: 8 + -12x + 5(1 + 4x) = 0 8 + -12x + (1 * 5 + 4x * 5) = 0 8 + -12x + (5 + 20x) = 0 Reorder the terms: 8 + 5 + -12x + 20x = 0 Combine like terms: 8 + 5 = 13 13 + -12x + 20x = 0 Combine like terms: -12x + 20x = 8x 13 + 8x = 0 Solving 13 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 8x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 8x = 0 + -13 8x = 0 + -13 Combine like terms: 0 + -13 = -13 8x = -13 Divide each side by '8'. x = -1.625 Simplifying x = -1.625
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