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Simplifying 5(x + -4) + -4(x + 1) = 0 Reorder the terms: 5(-4 + x) + -4(x + 1) = 0 (-4 * 5 + x * 5) + -4(x + 1) = 0 (-20 + 5x) + -4(x + 1) = 0 Reorder the terms: -20 + 5x + -4(1 + x) = 0 -20 + 5x + (1 * -4 + x * -4) = 0 -20 + 5x + (-4 + -4x) = 0 Reorder the terms: -20 + -4 + 5x + -4x = 0 Combine like terms: -20 + -4 = -24 -24 + 5x + -4x = 0 Combine like terms: 5x + -4x = 1x -24 + 1x = 0 Solving -24 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 1x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = 0 + 24 1x = 0 + 24 Combine like terms: 0 + 24 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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