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Simplifying 2x + -24 + -7x = 5x + 15 + -3x Reorder the terms: -24 + 2x + -7x = 5x + 15 + -3x Combine like terms: 2x + -7x = -5x -24 + -5x = 5x + 15 + -3x Reorder the terms: -24 + -5x = 15 + 5x + -3x Combine like terms: 5x + -3x = 2x -24 + -5x = 15 + 2x Solving -24 + -5x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + -5x + -2x = 15 + 2x + -2x Combine like terms: -5x + -2x = -7x -24 + -7x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + -7x = 15 + 0 -24 + -7x = 15 Add '24' to each side of the equation. -24 + 24 + -7x = 15 + 24 Combine like terms: -24 + 24 = 0 0 + -7x = 15 + 24 -7x = 15 + 24 Combine like terms: 15 + 24 = 39 -7x = 39 Divide each side by '-7'. x = -5.571428571 Simplifying x = -5.571428571
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