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Simplifying -75 + 12x = 4x + 165 Reorder the terms: -75 + 12x = 165 + 4x Solving -75 + 12x = 165 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -75 + 12x + -4x = 165 + 4x + -4x Combine like terms: 12x + -4x = 8x -75 + 8x = 165 + 4x + -4x Combine like terms: 4x + -4x = 0 -75 + 8x = 165 + 0 -75 + 8x = 165 Add '75' to each side of the equation. -75 + 75 + 8x = 165 + 75 Combine like terms: -75 + 75 = 0 0 + 8x = 165 + 75 8x = 165 + 75 Combine like terms: 165 + 75 = 240 8x = 240 Divide each side by '8'. x = 30 Simplifying x = 30
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