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Simplifying 2x + -6 = 2 + -4x + -1(x + -1) Reorder the terms: -6 + 2x = 2 + -4x + -1(x + -1) Reorder the terms: -6 + 2x = 2 + -4x + -1(-1 + x) -6 + 2x = 2 + -4x + (-1 * -1 + x * -1) -6 + 2x = 2 + -4x + (1 + -1x) Reorder the terms: -6 + 2x = 2 + 1 + -4x + -1x Combine like terms: 2 + 1 = 3 -6 + 2x = 3 + -4x + -1x Combine like terms: -4x + -1x = -5x -6 + 2x = 3 + -5x Solving -6 + 2x = 3 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6 + 2x + 5x = 3 + -5x + 5x Combine like terms: 2x + 5x = 7x -6 + 7x = 3 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 7x = 3 + 0 -6 + 7x = 3 Add '6' to each side of the equation. -6 + 6 + 7x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 3 + 6 7x = 3 + 6 Combine like terms: 3 + 6 = 9 7x = 9 Divide each side by '7'. x = 1.285714286 Simplifying x = 1.285714286
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