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Simplifying 2x + 1 + 2 = 3x + -4 Reorder the terms: 1 + 2 + 2x = 3x + -4 Combine like terms: 1 + 2 = 3 3 + 2x = 3x + -4 Reorder the terms: 3 + 2x = -4 + 3x Solving 3 + 2x = -4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3 + 2x + -3x = -4 + 3x + -3x Combine like terms: 2x + -3x = -1x 3 + -1x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -1x = -4 + 0 3 + -1x = -4 Add '-3' to each side of the equation. 3 + -3 + -1x = -4 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -4 + -3 -1x = -4 + -3 Combine like terms: -4 + -3 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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