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