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Simplifying 3[2(3X + 4) + -5(X + 3)] = 2(X + -4) Reorder the terms: 3[2(4 + 3X) + -5(X + 3)] = 2(X + -4) 3[(4 * 2 + 3X * 2) + -5(X + 3)] = 2(X + -4) 3[(8 + 6X) + -5(X + 3)] = 2(X + -4) Reorder the terms: 3[8 + 6X + -5(3 + X)] = 2(X + -4) 3[8 + 6X + (3 * -5 + X * -5)] = 2(X + -4) 3[8 + 6X + (-15 + -5X)] = 2(X + -4) Reorder the terms: 3[8 + -15 + 6X + -5X] = 2(X + -4) Combine like terms: 8 + -15 = -7 3[-7 + 6X + -5X] = 2(X + -4) Combine like terms: 6X + -5X = 1X 3[-7 + 1X] = 2(X + -4) [-7 * 3 + 1X * 3] = 2(X + -4) [-21 + 3X] = 2(X + -4) Reorder the terms: -21 + 3X = 2(-4 + X) -21 + 3X = (-4 * 2 + X * 2) -21 + 3X = (-8 + 2X) Solving -21 + 3X = -8 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. -21 + 3X + -2X = -8 + 2X + -2X Combine like terms: 3X + -2X = 1X -21 + 1X = -8 + 2X + -2X Combine like terms: 2X + -2X = 0 -21 + 1X = -8 + 0 -21 + 1X = -8 Add '21' to each side of the equation. -21 + 21 + 1X = -8 + 21 Combine like terms: -21 + 21 = 0 0 + 1X = -8 + 21 1X = -8 + 21 Combine like terms: -8 + 21 = 13 1X = 13 Divide each side by '1'. X = 13 Simplifying X = 13
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