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Simplifying 6(x + 4) + 3(x + -5) = 0 Reorder the terms: 6(4 + x) + 3(x + -5) = 0 (4 * 6 + x * 6) + 3(x + -5) = 0 (24 + 6x) + 3(x + -5) = 0 Reorder the terms: 24 + 6x + 3(-5 + x) = 0 24 + 6x + (-5 * 3 + x * 3) = 0 24 + 6x + (-15 + 3x) = 0 Reorder the terms: 24 + -15 + 6x + 3x = 0 Combine like terms: 24 + -15 = 9 9 + 6x + 3x = 0 Combine like terms: 6x + 3x = 9x 9 + 9x = 0 Solving 9 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 9x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = 0 + -9 9x = 0 + -9 Combine like terms: 0 + -9 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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