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Simplifying 3x + 2 + -4x + -5 = 2x + 8 + -6x + -2 Reorder the terms: 2 + -5 + 3x + -4x = 2x + 8 + -6x + -2 Combine like terms: 2 + -5 = -3 -3 + 3x + -4x = 2x + 8 + -6x + -2 Combine like terms: 3x + -4x = -1x -3 + -1x = 2x + 8 + -6x + -2 Reorder the terms: -3 + -1x = 8 + -2 + 2x + -6x Combine like terms: 8 + -2 = 6 -3 + -1x = 6 + 2x + -6x Combine like terms: 2x + -6x = -4x -3 + -1x = 6 + -4x Solving -3 + -1x = 6 + -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. -3 + -1x + 4x = 6 + -4x + 4x Combine like terms: -1x + 4x = 3x -3 + 3x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 3x = 6 + 0 -3 + 3x = 6 Add '3' to each side of the equation. -3 + 3 + 3x = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 6 + 3 3x = 6 + 3 Combine like terms: 6 + 3 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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