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Simplifying 4(4x + 5) + -3(3x + -1) = 0 Reorder the terms: 4(5 + 4x) + -3(3x + -1) = 0 (5 * 4 + 4x * 4) + -3(3x + -1) = 0 (20 + 16x) + -3(3x + -1) = 0 Reorder the terms: 20 + 16x + -3(-1 + 3x) = 0 20 + 16x + (-1 * -3 + 3x * -3) = 0 20 + 16x + (3 + -9x) = 0 Reorder the terms: 20 + 3 + 16x + -9x = 0 Combine like terms: 20 + 3 = 23 23 + 16x + -9x = 0 Combine like terms: 16x + -9x = 7x 23 + 7x = 0 Solving 23 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 7x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 7x = 0 + -23 7x = 0 + -23 Combine like terms: 0 + -23 = -23 7x = -23 Divide each side by '7'. x = -3.285714286 Simplifying x = -3.285714286
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