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Simplifying (X + 3) + 2(X + -4) = 5(X + 3) Reorder the terms: (3 + X) + 2(X + -4) = 5(X + 3) Remove parenthesis around (3 + X) 3 + X + 2(X + -4) = 5(X + 3) Reorder the terms: 3 + X + 2(-4 + X) = 5(X + 3) 3 + X + (-4 * 2 + X * 2) = 5(X + 3) 3 + X + (-8 + 2X) = 5(X + 3) Reorder the terms: 3 + -8 + X + 2X = 5(X + 3) Combine like terms: 3 + -8 = -5 -5 + X + 2X = 5(X + 3) Combine like terms: X + 2X = 3X -5 + 3X = 5(X + 3) Reorder the terms: -5 + 3X = 5(3 + X) -5 + 3X = (3 * 5 + X * 5) -5 + 3X = (15 + 5X) Solving -5 + 3X = 15 + 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. -5 + 3X + -5X = 15 + 5X + -5X Combine like terms: 3X + -5X = -2X -5 + -2X = 15 + 5X + -5X Combine like terms: 5X + -5X = 0 -5 + -2X = 15 + 0 -5 + -2X = 15 Add '5' to each side of the equation. -5 + 5 + -2X = 15 + 5 Combine like terms: -5 + 5 = 0 0 + -2X = 15 + 5 -2X = 15 + 5 Combine like terms: 15 + 5 = 20 -2X = 20 Divide each side by '-2'. X = -10 Simplifying X = -10
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