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Simplifying 5(x + 4) + -4(x + -5) + -6 = 0 Reorder the terms: 5(4 + x) + -4(x + -5) + -6 = 0 (4 * 5 + x * 5) + -4(x + -5) + -6 = 0 (20 + 5x) + -4(x + -5) + -6 = 0 Reorder the terms: 20 + 5x + -4(-5 + x) + -6 = 0 20 + 5x + (-5 * -4 + x * -4) + -6 = 0 20 + 5x + (20 + -4x) + -6 = 0 Reorder the terms: 20 + 20 + -6 + 5x + -4x = 0 Combine like terms: 20 + 20 = 40 40 + -6 + 5x + -4x = 0 Combine like terms: 40 + -6 = 34 34 + 5x + -4x = 0 Combine like terms: 5x + -4x = 1x 34 + 1x = 0 Solving 34 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 1x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 1x = 0 + -34 1x = 0 + -34 Combine like terms: 0 + -34 = -34 1x = -34 Divide each side by '1'. x = -34 Simplifying x = -34
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