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Simplifying 6(x + 5) + -1(x + -4) = 0 Reorder the terms: 6(5 + x) + -1(x + -4) = 0 (5 * 6 + x * 6) + -1(x + -4) = 0 (30 + 6x) + -1(x + -4) = 0 Reorder the terms: 30 + 6x + -1(-4 + x) = 0 30 + 6x + (-4 * -1 + x * -1) = 0 30 + 6x + (4 + -1x) = 0 Reorder the terms: 30 + 4 + 6x + -1x = 0 Combine like terms: 30 + 4 = 34 34 + 6x + -1x = 0 Combine like terms: 6x + -1x = 5x 34 + 5x = 0 Solving 34 + 5x = 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 + 5x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 5x = 0 + -34 5x = 0 + -34 Combine like terms: 0 + -34 = -34 5x = -34 Divide each side by '5'. x = -6.8 Simplifying x = -6.8
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