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Simplifying 4(5x + 3) + -3(4x + -1) = 0 Reorder the terms: 4(3 + 5x) + -3(4x + -1) = 0 (3 * 4 + 5x * 4) + -3(4x + -1) = 0 (12 + 20x) + -3(4x + -1) = 0 Reorder the terms: 12 + 20x + -3(-1 + 4x) = 0 12 + 20x + (-1 * -3 + 4x * -3) = 0 12 + 20x + (3 + -12x) = 0 Reorder the terms: 12 + 3 + 20x + -12x = 0 Combine like terms: 12 + 3 = 15 15 + 20x + -12x = 0 Combine like terms: 20x + -12x = 8x 15 + 8x = 0 Solving 15 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 8x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = 0 + -15 8x = 0 + -15 Combine like terms: 0 + -15 = -15 8x = -15 Divide each side by '8'. x = -1.875 Simplifying x = -1.875
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