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Simplifying 2x + -4 + 6 + -3x = 2 + -5x + 9 Reorder the terms: -4 + 6 + 2x + -3x = 2 + -5x + 9 Combine like terms: -4 + 6 = 2 2 + 2x + -3x = 2 + -5x + 9 Combine like terms: 2x + -3x = -1x 2 + -1x = 2 + -5x + 9 Reorder the terms: 2 + -1x = 2 + 9 + -5x Combine like terms: 2 + 9 = 11 2 + -1x = 11 + -5x Solving 2 + -1x = 11 + -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. 2 + -1x + 5x = 11 + -5x + 5x Combine like terms: -1x + 5x = 4x 2 + 4x = 11 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 4x = 11 + 0 2 + 4x = 11 Add '-2' to each side of the equation. 2 + -2 + 4x = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 11 + -2 4x = 11 + -2 Combine like terms: 11 + -2 = 9 4x = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25
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