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Simplifying 4(2x + 3) + 5(x + 1) = 0 Reorder the terms: 4(3 + 2x) + 5(x + 1) = 0 (3 * 4 + 2x * 4) + 5(x + 1) = 0 (12 + 8x) + 5(x + 1) = 0 Reorder the terms: 12 + 8x + 5(1 + x) = 0 12 + 8x + (1 * 5 + x * 5) = 0 12 + 8x + (5 + 5x) = 0 Reorder the terms: 12 + 5 + 8x + 5x = 0 Combine like terms: 12 + 5 = 17 17 + 8x + 5x = 0 Combine like terms: 8x + 5x = 13x 17 + 13x = 0 Solving 17 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 13x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 13x = 0 + -17 13x = 0 + -17 Combine like terms: 0 + -17 = -17 13x = -17 Divide each side by '13'. x = -1.307692308 Simplifying x = -1.307692308
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