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Simplifying 4x + -1 = 7 + -4x Reorder the terms: -1 + 4x = 7 + -4x Solving -1 + 4x = 7 + -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 + 4x + 4x = 7 + -4x + 4x Combine like terms: 4x + 4x = 8x -1 + 8x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + 8x = 7 + 0 -1 + 8x = 7 Add '1' to each side of the equation. -1 + 1 + 8x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 7 + 1 8x = 7 + 1 Combine like terms: 7 + 1 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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