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Simplifying 5(x + 4) + 4(x + -6) = 0 Reorder the terms: 5(4 + x) + 4(x + -6) = 0 (4 * 5 + x * 5) + 4(x + -6) = 0 (20 + 5x) + 4(x + -6) = 0 Reorder the terms: 20 + 5x + 4(-6 + x) = 0 20 + 5x + (-6 * 4 + x * 4) = 0 20 + 5x + (-24 + 4x) = 0 Reorder the terms: 20 + -24 + 5x + 4x = 0 Combine like terms: 20 + -24 = -4 -4 + 5x + 4x = 0 Combine like terms: 5x + 4x = 9x -4 + 9x = 0 Solving -4 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 9x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = 0 + 4 9x = 0 + 4 Combine like terms: 0 + 4 = 4 9x = 4 Divide each side by '9'. x = 0.4444444444 Simplifying x = 0.4444444444
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