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Simplifying 9(x + 6) + -1(4x + 24) = 0 Reorder the terms: 9(6 + x) + -1(4x + 24) = 0 (6 * 9 + x * 9) + -1(4x + 24) = 0 (54 + 9x) + -1(4x + 24) = 0 Reorder the terms: 54 + 9x + -1(24 + 4x) = 0 54 + 9x + (24 * -1 + 4x * -1) = 0 54 + 9x + (-24 + -4x) = 0 Reorder the terms: 54 + -24 + 9x + -4x = 0 Combine like terms: 54 + -24 = 30 30 + 9x + -4x = 0 Combine like terms: 9x + -4x = 5x 30 + 5x = 0 Solving 30 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 5x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = 0 + -30 5x = 0 + -30 Combine like terms: 0 + -30 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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