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Simplifying 4(2X + -5) + -3X = 3(X + 5) Reorder the terms: 4(-5 + 2X) + -3X = 3(X + 5) (-5 * 4 + 2X * 4) + -3X = 3(X + 5) (-20 + 8X) + -3X = 3(X + 5) Combine like terms: 8X + -3X = 5X -20 + 5X = 3(X + 5) Reorder the terms: -20 + 5X = 3(5 + X) -20 + 5X = (5 * 3 + X * 3) -20 + 5X = (15 + 3X) Solving -20 + 5X = 15 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. -20 + 5X + -3X = 15 + 3X + -3X Combine like terms: 5X + -3X = 2X -20 + 2X = 15 + 3X + -3X Combine like terms: 3X + -3X = 0 -20 + 2X = 15 + 0 -20 + 2X = 15 Add '20' to each side of the equation. -20 + 20 + 2X = 15 + 20 Combine like terms: -20 + 20 = 0 0 + 2X = 15 + 20 2X = 15 + 20 Combine like terms: 15 + 20 = 35 2X = 35 Divide each side by '2'. X = 17.5 Simplifying X = 17.5
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