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Simplifying 5(4X + -9) + -4 = 5(X + -4) + 76 Reorder the terms: 5(-9 + 4X) + -4 = 5(X + -4) + 76 (-9 * 5 + 4X * 5) + -4 = 5(X + -4) + 76 (-45 + 20X) + -4 = 5(X + -4) + 76 Reorder the terms: -45 + -4 + 20X = 5(X + -4) + 76 Combine like terms: -45 + -4 = -49 -49 + 20X = 5(X + -4) + 76 Reorder the terms: -49 + 20X = 5(-4 + X) + 76 -49 + 20X = (-4 * 5 + X * 5) + 76 -49 + 20X = (-20 + 5X) + 76 Reorder the terms: -49 + 20X = -20 + 76 + 5X Combine like terms: -20 + 76 = 56 -49 + 20X = 56 + 5X Solving -49 + 20X = 56 + 5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5X' to each side of the equation. -49 + 20X + -5X = 56 + 5X + -5X Combine like terms: 20X + -5X = 15X -49 + 15X = 56 + 5X + -5X Combine like terms: 5X + -5X = 0 -49 + 15X = 56 + 0 -49 + 15X = 56 Add '49' to each side of the equation. -49 + 49 + 15X = 56 + 49 Combine like terms: -49 + 49 = 0 0 + 15X = 56 + 49 15X = 56 + 49 Combine like terms: 56 + 49 = 105 15X = 105 Divide each side by '15'. X = 7 Simplifying X = 7
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