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