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