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Simplifying 2x + -45 + 15x = 75 + -3x Reorder the terms: -45 + 2x + 15x = 75 + -3x Combine like terms: 2x + 15x = 17x -45 + 17x = 75 + -3x Solving -45 + 17x = 75 + -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. -45 + 17x + 3x = 75 + -3x + 3x Combine like terms: 17x + 3x = 20x -45 + 20x = 75 + -3x + 3x Combine like terms: -3x + 3x = 0 -45 + 20x = 75 + 0 -45 + 20x = 75 Add '45' to each side of the equation. -45 + 45 + 20x = 75 + 45 Combine like terms: -45 + 45 = 0 0 + 20x = 75 + 45 20x = 75 + 45 Combine like terms: 75 + 45 = 120 20x = 120 Divide each side by '20'. x = 6 Simplifying x = 6
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