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Simplifying 3(x + 4) + 5(x + 1) = 0 Reorder the terms: 3(4 + x) + 5(x + 1) = 0 (4 * 3 + x * 3) + 5(x + 1) = 0 (12 + 3x) + 5(x + 1) = 0 Reorder the terms: 12 + 3x + 5(1 + x) = 0 12 + 3x + (1 * 5 + x * 5) = 0 12 + 3x + (5 + 5x) = 0 Reorder the terms: 12 + 5 + 3x + 5x = 0 Combine like terms: 12 + 5 = 17 17 + 3x + 5x = 0 Combine like terms: 3x + 5x = 8x 17 + 8x = 0 Solving 17 + 8x = 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 + 8x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 8x = 0 + -17 8x = 0 + -17 Combine like terms: 0 + -17 = -17 8x = -17 Divide each side by '8'. x = -2.125 Simplifying x = -2.125
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