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Simplifying 6(x + 5) + -1(2x + -4) = 0 Reorder the terms: 6(5 + x) + -1(2x + -4) = 0 (5 * 6 + x * 6) + -1(2x + -4) = 0 (30 + 6x) + -1(2x + -4) = 0 Reorder the terms: 30 + 6x + -1(-4 + 2x) = 0 30 + 6x + (-4 * -1 + 2x * -1) = 0 30 + 6x + (4 + -2x) = 0 Reorder the terms: 30 + 4 + 6x + -2x = 0 Combine like terms: 30 + 4 = 34 34 + 6x + -2x = 0 Combine like terms: 6x + -2x = 4x 34 + 4x = 0 Solving 34 + 4x = 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 + 4x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 4x = 0 + -34 4x = 0 + -34 Combine like terms: 0 + -34 = -34 4x = -34 Divide each side by '4'. x = -8.5 Simplifying x = -8.5
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