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