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Simplifying 3x + 2 = 5x + 4 + -3x + 7 Reorder the terms: 2 + 3x = 5x + 4 + -3x + 7 Reorder the terms: 2 + 3x = 4 + 7 + 5x + -3x Combine like terms: 4 + 7 = 11 2 + 3x = 11 + 5x + -3x Combine like terms: 5x + -3x = 2x 2 + 3x = 11 + 2x Solving 2 + 3x = 11 + 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 + 3x + -2x = 11 + 2x + -2x Combine like terms: 3x + -2x = 1x 2 + 1x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 1x = 11 + 0 2 + 1x = 11 Add '-2' to each side of the equation. 2 + -2 + 1x = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 11 + -2 1x = 11 + -2 Combine like terms: 11 + -2 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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