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Simplifying 2x + -4 = 3x + 7 + -2x Reorder the terms: -4 + 2x = 3x + 7 + -2x Reorder the terms: -4 + 2x = 7 + 3x + -2x Combine like terms: 3x + -2x = 1x -4 + 2x = 7 + 1x Solving -4 + 2x = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + 2x + -1x = 7 + 1x + -1x Combine like terms: 2x + -1x = 1x -4 + 1x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 -4 + 1x = 7 + 0 -4 + 1x = 7 Add '4' to each side of the equation. -4 + 4 + 1x = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 7 + 4 1x = 7 + 4 Combine like terms: 7 + 4 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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