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Simplifying 5(4x + -4) = 21x + -10x + 4 Reorder the terms: 5(-4 + 4x) = 21x + -10x + 4 (-4 * 5 + 4x * 5) = 21x + -10x + 4 (-20 + 20x) = 21x + -10x + 4 Reorder the terms: -20 + 20x = 4 + 21x + -10x Combine like terms: 21x + -10x = 11x -20 + 20x = 4 + 11x Solving -20 + 20x = 4 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -20 + 20x + -11x = 4 + 11x + -11x Combine like terms: 20x + -11x = 9x -20 + 9x = 4 + 11x + -11x Combine like terms: 11x + -11x = 0 -20 + 9x = 4 + 0 -20 + 9x = 4 Add '20' to each side of the equation. -20 + 20 + 9x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 9x = 4 + 20 9x = 4 + 20 Combine like terms: 4 + 20 = 24 9x = 24 Divide each side by '9'. x = 2.666666667 Simplifying x = 2.666666667
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