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Simplifying 3x + -7 = 2x + 4 + 2 + -1 Reorder the terms: -7 + 3x = 2x + 4 + 2 + -1 Reorder the terms: -7 + 3x = 4 + 2 + -1 + 2x Combine like terms: 4 + 2 = 6 -7 + 3x = 6 + -1 + 2x Combine like terms: 6 + -1 = 5 -7 + 3x = 5 + 2x Solving -7 + 3x = 5 + 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. -7 + 3x + -2x = 5 + 2x + -2x Combine like terms: 3x + -2x = 1x -7 + 1x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 1x = 5 + 0 -7 + 1x = 5 Add '7' to each side of the equation. -7 + 7 + 1x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 5 + 7 1x = 5 + 7 Combine like terms: 5 + 7 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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