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