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Simplifying 3x + -6 + 2x + 5 = 2x + -9 + -1x Reorder the terms: -6 + 5 + 3x + 2x = 2x + -9 + -1x Combine like terms: -6 + 5 = -1 -1 + 3x + 2x = 2x + -9 + -1x Combine like terms: 3x + 2x = 5x -1 + 5x = 2x + -9 + -1x Reorder the terms: -1 + 5x = -9 + 2x + -1x Combine like terms: 2x + -1x = 1x -1 + 5x = -9 + 1x Solving -1 + 5x = -9 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + 5x + -1x = -9 + 1x + -1x Combine like terms: 5x + -1x = 4x -1 + 4x = -9 + 1x + -1x Combine like terms: 1x + -1x = 0 -1 + 4x = -9 + 0 -1 + 4x = -9 Add '1' to each side of the equation. -1 + 1 + 4x = -9 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = -9 + 1 4x = -9 + 1 Combine like terms: -9 + 1 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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