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Simplifying 4(3X + -5) + 32 = 4(2X + 11) Reorder the terms: 4(-5 + 3X) + 32 = 4(2X + 11) (-5 * 4 + 3X * 4) + 32 = 4(2X + 11) (-20 + 12X) + 32 = 4(2X + 11) Reorder the terms: -20 + 32 + 12X = 4(2X + 11) Combine like terms: -20 + 32 = 12 12 + 12X = 4(2X + 11) Reorder the terms: 12 + 12X = 4(11 + 2X) 12 + 12X = (11 * 4 + 2X * 4) 12 + 12X = (44 + 8X) Solving 12 + 12X = 44 + 8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8X' to each side of the equation. 12 + 12X + -8X = 44 + 8X + -8X Combine like terms: 12X + -8X = 4X 12 + 4X = 44 + 8X + -8X Combine like terms: 8X + -8X = 0 12 + 4X = 44 + 0 12 + 4X = 44 Add '-12' to each side of the equation. 12 + -12 + 4X = 44 + -12 Combine like terms: 12 + -12 = 0 0 + 4X = 44 + -12 4X = 44 + -12 Combine like terms: 44 + -12 = 32 4X = 32 Divide each side by '4'. X = 8 Simplifying X = 8
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