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Simplifying 5x + -1 = 2x + -6 + 1 Reorder the terms: -1 + 5x = 2x + -6 + 1 Reorder the terms: -1 + 5x = -6 + 1 + 2x Combine like terms: -6 + 1 = -5 -1 + 5x = -5 + 2x Solving -1 + 5x = -5 + 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 = -5 + 2x + -2x Combine like terms: 5x + -2x = 3x -1 + 3x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 3x = -5 + 0 -1 + 3x = -5 Add '1' to each side of the equation. -1 + 1 + 3x = -5 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = -5 + 1 3x = -5 + 1 Combine like terms: -5 + 1 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333
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