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Simplifying -5X + 32 = 4(2X + -5) Reorder the terms: 32 + -5X = 4(2X + -5) Reorder the terms: 32 + -5X = 4(-5 + 2X) 32 + -5X = (-5 * 4 + 2X * 4) 32 + -5X = (-20 + 8X) Solving 32 + -5X = -20 + 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. 32 + -5X + -8X = -20 + 8X + -8X Combine like terms: -5X + -8X = -13X 32 + -13X = -20 + 8X + -8X Combine like terms: 8X + -8X = 0 32 + -13X = -20 + 0 32 + -13X = -20 Add '-32' to each side of the equation. 32 + -32 + -13X = -20 + -32 Combine like terms: 32 + -32 = 0 0 + -13X = -20 + -32 -13X = -20 + -32 Combine like terms: -20 + -32 = -52 -13X = -52 Divide each side by '-13'. X = 4 Simplifying X = 4
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