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Simplifying 4(4x + 3) + 3(5x + 1) = 0 Reorder the terms: 4(3 + 4x) + 3(5x + 1) = 0 (3 * 4 + 4x * 4) + 3(5x + 1) = 0 (12 + 16x) + 3(5x + 1) = 0 Reorder the terms: 12 + 16x + 3(1 + 5x) = 0 12 + 16x + (1 * 3 + 5x * 3) = 0 12 + 16x + (3 + 15x) = 0 Reorder the terms: 12 + 3 + 16x + 15x = 0 Combine like terms: 12 + 3 = 15 15 + 16x + 15x = 0 Combine like terms: 16x + 15x = 31x 15 + 31x = 0 Solving 15 + 31x = 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 + 31x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 31x = 0 + -15 31x = 0 + -15 Combine like terms: 0 + -15 = -15 31x = -15 Divide each side by '31'. x = -0.4838709677 Simplifying x = -0.4838709677
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