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Simplifying 2 + 3x + -4 + -5x = 6 + 2x + -3 Reorder the terms: 2 + -4 + 3x + -5x = 6 + 2x + -3 Combine like terms: 2 + -4 = -2 -2 + 3x + -5x = 6 + 2x + -3 Combine like terms: 3x + -5x = -2x -2 + -2x = 6 + 2x + -3 Reorder the terms: -2 + -2x = 6 + -3 + 2x Combine like terms: 6 + -3 = 3 -2 + -2x = 3 + 2x Solving -2 + -2x = 3 + 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. -2 + -2x + -2x = 3 + 2x + -2x Combine like terms: -2x + -2x = -4x -2 + -4x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -4x = 3 + 0 -2 + -4x = 3 Add '2' to each side of the equation. -2 + 2 + -4x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 3 + 2 -4x = 3 + 2 Combine like terms: 3 + 2 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25
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