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Simplifying -4(5x + 1) = 3(x + -32) Reorder the terms: -4(1 + 5x) = 3(x + -32) (1 * -4 + 5x * -4) = 3(x + -32) (-4 + -20x) = 3(x + -32) Reorder the terms: -4 + -20x = 3(-32 + x) -4 + -20x = (-32 * 3 + x * 3) -4 + -20x = (-96 + 3x) Solving -4 + -20x = -96 + 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. -4 + -20x + -3x = -96 + 3x + -3x Combine like terms: -20x + -3x = -23x -4 + -23x = -96 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -23x = -96 + 0 -4 + -23x = -96 Add '4' to each side of the equation. -4 + 4 + -23x = -96 + 4 Combine like terms: -4 + 4 = 0 0 + -23x = -96 + 4 -23x = -96 + 4 Combine like terms: -96 + 4 = -92 -23x = -92 Divide each side by '-23'. x = 4 Simplifying x = 4
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