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Simplifying 6(x + 5) + -1(2x + -6) = 0 Reorder the terms: 6(5 + x) + -1(2x + -6) = 0 (5 * 6 + x * 6) + -1(2x + -6) = 0 (30 + 6x) + -1(2x + -6) = 0 Reorder the terms: 30 + 6x + -1(-6 + 2x) = 0 30 + 6x + (-6 * -1 + 2x * -1) = 0 30 + 6x + (6 + -2x) = 0 Reorder the terms: 30 + 6 + 6x + -2x = 0 Combine like terms: 30 + 6 = 36 36 + 6x + -2x = 0 Combine like terms: 6x + -2x = 4x 36 + 4x = 0 Solving 36 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 4x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 4x = 0 + -36 4x = 0 + -36 Combine like terms: 0 + -36 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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