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Simplifying 4(2X + -5) = 2(3X + 6) Reorder the terms: 4(-5 + 2X) = 2(3X + 6) (-5 * 4 + 2X * 4) = 2(3X + 6) (-20 + 8X) = 2(3X + 6) Reorder the terms: -20 + 8X = 2(6 + 3X) -20 + 8X = (6 * 2 + 3X * 2) -20 + 8X = (12 + 6X) Solving -20 + 8X = 12 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. -20 + 8X + -6X = 12 + 6X + -6X Combine like terms: 8X + -6X = 2X -20 + 2X = 12 + 6X + -6X Combine like terms: 6X + -6X = 0 -20 + 2X = 12 + 0 -20 + 2X = 12 Add '20' to each side of the equation. -20 + 20 + 2X = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 2X = 12 + 20 2X = 12 + 20 Combine like terms: 12 + 20 = 32 2X = 32 Divide each side by '2'. X = 16 Simplifying X = 16
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