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Simplifying 2(2X + -3) = 5(X + 4) + -5 Reorder the terms: 2(-3 + 2X) = 5(X + 4) + -5 (-3 * 2 + 2X * 2) = 5(X + 4) + -5 (-6 + 4X) = 5(X + 4) + -5 Reorder the terms: -6 + 4X = 5(4 + X) + -5 -6 + 4X = (4 * 5 + X * 5) + -5 -6 + 4X = (20 + 5X) + -5 Reorder the terms: -6 + 4X = 20 + -5 + 5X Combine like terms: 20 + -5 = 15 -6 + 4X = 15 + 5X Solving -6 + 4X = 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. -6 + 4X + -5X = 15 + 5X + -5X Combine like terms: 4X + -5X = -1X -6 + -1X = 15 + 5X + -5X Combine like terms: 5X + -5X = 0 -6 + -1X = 15 + 0 -6 + -1X = 15 Add '6' to each side of the equation. -6 + 6 + -1X = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -1X = 15 + 6 -1X = 15 + 6 Combine like terms: 15 + 6 = 21 -1X = 21 Divide each side by '-1'. X = -21 Simplifying X = -21
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