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Simplifying 4x + -1 + x = 41 + 3x + -4x Reorder the terms: -1 + 4x + x = 41 + 3x + -4x Combine like terms: 4x + x = 5x -1 + 5x = 41 + 3x + -4x Combine like terms: 3x + -4x = -1x -1 + 5x = 41 + -1x Solving -1 + 5x = 41 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1 + 5x + x = 41 + -1x + x Combine like terms: 5x + x = 6x -1 + 6x = 41 + -1x + x Combine like terms: -1x + x = 0 -1 + 6x = 41 + 0 -1 + 6x = 41 Add '1' to each side of the equation. -1 + 1 + 6x = 41 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 41 + 1 6x = 41 + 1 Combine like terms: 41 + 1 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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