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Simplifying 5(6X + -1) + -3(3X + -3) = 20X + 4 Reorder the terms: 5(-1 + 6X) + -3(3X + -3) = 20X + 4 (-1 * 5 + 6X * 5) + -3(3X + -3) = 20X + 4 (-5 + 30X) + -3(3X + -3) = 20X + 4 Reorder the terms: -5 + 30X + -3(-3 + 3X) = 20X + 4 -5 + 30X + (-3 * -3 + 3X * -3) = 20X + 4 -5 + 30X + (9 + -9X) = 20X + 4 Reorder the terms: -5 + 9 + 30X + -9X = 20X + 4 Combine like terms: -5 + 9 = 4 4 + 30X + -9X = 20X + 4 Combine like terms: 30X + -9X = 21X 4 + 21X = 20X + 4 Reorder the terms: 4 + 21X = 4 + 20X Add '-4' to each side of the equation. 4 + -4 + 21X = 4 + -4 + 20X Combine like terms: 4 + -4 = 0 0 + 21X = 4 + -4 + 20X 21X = 4 + -4 + 20X Combine like terms: 4 + -4 = 0 21X = 0 + 20X 21X = 20X Solving 21X = 20X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-20X' to each side of the equation. 21X + -20X = 20X + -20X Combine like terms: 21X + -20X = 1X 1X = 20X + -20X Combine like terms: 20X + -20X = 0 1X = 0 Divide each side by '1'. X = 0 Simplifying X = 0
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