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Simplifying 5(4x + -4) + -6(x + 4) = -2 Reorder the terms: 5(-4 + 4x) + -6(x + 4) = -2 (-4 * 5 + 4x * 5) + -6(x + 4) = -2 (-20 + 20x) + -6(x + 4) = -2 Reorder the terms: -20 + 20x + -6(4 + x) = -2 -20 + 20x + (4 * -6 + x * -6) = -2 -20 + 20x + (-24 + -6x) = -2 Reorder the terms: -20 + -24 + 20x + -6x = -2 Combine like terms: -20 + -24 = -44 -44 + 20x + -6x = -2 Combine like terms: 20x + -6x = 14x -44 + 14x = -2 Solving -44 + 14x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 14x = -2 + 44 Combine like terms: -44 + 44 = 0 0 + 14x = -2 + 44 14x = -2 + 44 Combine like terms: -2 + 44 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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