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Simplifying 2x + -3x + -9 = 8 + -5x + 15 Reorder the terms: -9 + 2x + -3x = 8 + -5x + 15 Combine like terms: 2x + -3x = -1x -9 + -1x = 8 + -5x + 15 Reorder the terms: -9 + -1x = 8 + 15 + -5x Combine like terms: 8 + 15 = 23 -9 + -1x = 23 + -5x Solving -9 + -1x = 23 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -9 + -1x + 5x = 23 + -5x + 5x Combine like terms: -1x + 5x = 4x -9 + 4x = 23 + -5x + 5x Combine like terms: -5x + 5x = 0 -9 + 4x = 23 + 0 -9 + 4x = 23 Add '9' to each side of the equation. -9 + 9 + 4x = 23 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 23 + 9 4x = 23 + 9 Combine like terms: 23 + 9 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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