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Simplifying 2 + 3(3X + -5) = 5 + -3(2X + 1) Reorder the terms: 2 + 3(-5 + 3X) = 5 + -3(2X + 1) 2 + (-5 * 3 + 3X * 3) = 5 + -3(2X + 1) 2 + (-15 + 9X) = 5 + -3(2X + 1) Combine like terms: 2 + -15 = -13 -13 + 9X = 5 + -3(2X + 1) Reorder the terms: -13 + 9X = 5 + -3(1 + 2X) -13 + 9X = 5 + (1 * -3 + 2X * -3) -13 + 9X = 5 + (-3 + -6X) Combine like terms: 5 + -3 = 2 -13 + 9X = 2 + -6X Solving -13 + 9X = 2 + -6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6X' to each side of the equation. -13 + 9X + 6X = 2 + -6X + 6X Combine like terms: 9X + 6X = 15X -13 + 15X = 2 + -6X + 6X Combine like terms: -6X + 6X = 0 -13 + 15X = 2 + 0 -13 + 15X = 2 Add '13' to each side of the equation. -13 + 13 + 15X = 2 + 13 Combine like terms: -13 + 13 = 0 0 + 15X = 2 + 13 15X = 2 + 13 Combine like terms: 2 + 13 = 15 15X = 15 Divide each side by '15'. X = 1 Simplifying X = 1
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