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Simplifying 1x + -1 + 4x = 2x + -6 Reorder the terms: -1 + 1x + 4x = 2x + -6 Combine like terms: 1x + 4x = 5x -1 + 5x = 2x + -6 Reorder the terms: -1 + 5x = -6 + 2x Solving -1 + 5x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 5x + -2x = -6 + 2x + -2x Combine like terms: 5x + -2x = 3x -1 + 3x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 3x = -6 + 0 -1 + 3x = -6 Add '1' to each side of the equation. -1 + 1 + 3x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = -6 + 1 3x = -6 + 1 Combine like terms: -6 + 1 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667
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