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Simplifying 5X + -4(5 + X) = 10 + 3(X + -2) 5X + (5 * -4 + X * -4) = 10 + 3(X + -2) 5X + (-20 + -4X) = 10 + 3(X + -2) Reorder the terms: -20 + 5X + -4X = 10 + 3(X + -2) Combine like terms: 5X + -4X = 1X -20 + 1X = 10 + 3(X + -2) Reorder the terms: -20 + 1X = 10 + 3(-2 + X) -20 + 1X = 10 + (-2 * 3 + X * 3) -20 + 1X = 10 + (-6 + 3X) Combine like terms: 10 + -6 = 4 -20 + 1X = 4 + 3X Solving -20 + 1X = 4 + 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 + 1X + -3X = 4 + 3X + -3X Combine like terms: 1X + -3X = -2X -20 + -2X = 4 + 3X + -3X Combine like terms: 3X + -3X = 0 -20 + -2X = 4 + 0 -20 + -2X = 4 Add '20' to each side of the equation. -20 + 20 + -2X = 4 + 20 Combine like terms: -20 + 20 = 0 0 + -2X = 4 + 20 -2X = 4 + 20 Combine like terms: 4 + 20 = 24 -2X = 24 Divide each side by '-2'. X = -12 Simplifying X = -12
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