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Simplifying 4(2x + 4) + 5(x + -1) = 0 Reorder the terms: 4(4 + 2x) + 5(x + -1) = 0 (4 * 4 + 2x * 4) + 5(x + -1) = 0 (16 + 8x) + 5(x + -1) = 0 Reorder the terms: 16 + 8x + 5(-1 + x) = 0 16 + 8x + (-1 * 5 + x * 5) = 0 16 + 8x + (-5 + 5x) = 0 Reorder the terms: 16 + -5 + 8x + 5x = 0 Combine like terms: 16 + -5 = 11 11 + 8x + 5x = 0 Combine like terms: 8x + 5x = 13x 11 + 13x = 0 Solving 11 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 13x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 13x = 0 + -11 13x = 0 + -11 Combine like terms: 0 + -11 = -11 13x = -11 Divide each side by '13'. x = -0.8461538462 Simplifying x = -0.8461538462
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