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Simplifying 3x + 5x + -24 + -4x + 9 = 45 Reorder the terms: -24 + 9 + 3x + 5x + -4x = 45 Combine like terms: -24 + 9 = -15 -15 + 3x + 5x + -4x = 45 Combine like terms: 3x + 5x = 8x -15 + 8x + -4x = 45 Combine like terms: 8x + -4x = 4x -15 + 4x = 45 Solving -15 + 4x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 4x = 45 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 45 + 15 4x = 45 + 15 Combine like terms: 45 + 15 = 60 4x = 60 Divide each side by '4'. x = 15 Simplifying x = 15
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