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Simplifying 2(3X + 3) + -4(5X + -3X) = 5(2X + -3) + -3(X + 5) Reorder the terms: 2(3 + 3X) + -4(5X + -3X) = 5(2X + -3) + -3(X + 5) (3 * 2 + 3X * 2) + -4(5X + -3X) = 5(2X + -3) + -3(X + 5) (6 + 6X) + -4(5X + -3X) = 5(2X + -3) + -3(X + 5) Combine like terms: 5X + -3X = 2X 6 + 6X + -4(2X) = 5(2X + -3) + -3(X + 5) Remove parenthesis around (2X) 6 + 6X + -4 * 2X = 5(2X + -3) + -3(X + 5) Multiply -4 * 2 6 + 6X + -8X = 5(2X + -3) + -3(X + 5) Combine like terms: 6X + -8X = -2X 6 + -2X = 5(2X + -3) + -3(X + 5) Reorder the terms: 6 + -2X = 5(-3 + 2X) + -3(X + 5) 6 + -2X = (-3 * 5 + 2X * 5) + -3(X + 5) 6 + -2X = (-15 + 10X) + -3(X + 5) Reorder the terms: 6 + -2X = -15 + 10X + -3(5 + X) 6 + -2X = -15 + 10X + (5 * -3 + X * -3) 6 + -2X = -15 + 10X + (-15 + -3X) Reorder the terms: 6 + -2X = -15 + -15 + 10X + -3X Combine like terms: -15 + -15 = -30 6 + -2X = -30 + 10X + -3X Combine like terms: 10X + -3X = 7X 6 + -2X = -30 + 7X Solving 6 + -2X = -30 + 7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7X' to each side of the equation. 6 + -2X + -7X = -30 + 7X + -7X Combine like terms: -2X + -7X = -9X 6 + -9X = -30 + 7X + -7X Combine like terms: 7X + -7X = 0 6 + -9X = -30 + 0 6 + -9X = -30 Add '-6' to each side of the equation. 6 + -6 + -9X = -30 + -6 Combine like terms: 6 + -6 = 0 0 + -9X = -30 + -6 -9X = -30 + -6 Combine like terms: -30 + -6 = -36 -9X = -36 Divide each side by '-9'. X = 4 Simplifying X = 4
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