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Simplifying 5(4x + -3) = 3x + -32 Reorder the terms: 5(-3 + 4x) = 3x + -32 (-3 * 5 + 4x * 5) = 3x + -32 (-15 + 20x) = 3x + -32 Reorder the terms: -15 + 20x = -32 + 3x Solving -15 + 20x = -32 + 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. -15 + 20x + -3x = -32 + 3x + -3x Combine like terms: 20x + -3x = 17x -15 + 17x = -32 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 17x = -32 + 0 -15 + 17x = -32 Add '15' to each side of the equation. -15 + 15 + 17x = -32 + 15 Combine like terms: -15 + 15 = 0 0 + 17x = -32 + 15 17x = -32 + 15 Combine like terms: -32 + 15 = -17 17x = -17 Divide each side by '17'. x = -1 Simplifying x = -1
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