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Simplifying 6x + -7 = 3x + 4 + 2x + 1 Reorder the terms: -7 + 6x = 3x + 4 + 2x + 1 Reorder the terms: -7 + 6x = 4 + 1 + 3x + 2x Combine like terms: 4 + 1 = 5 -7 + 6x = 5 + 3x + 2x Combine like terms: 3x + 2x = 5x -7 + 6x = 5 + 5x Solving -7 + 6x = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + 6x + -5x = 5 + 5x + -5x Combine like terms: 6x + -5x = 1x -7 + 1x = 5 + 5x + -5x Combine like terms: 5x + -5x = 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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