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Simplifying 3x + -1(-2x + 2) = 6 + -1(2x + -4) Reorder the terms: 3x + -1(2 + -2x) = 6 + -1(2x + -4) 3x + (2 * -1 + -2x * -1) = 6 + -1(2x + -4) 3x + (-2 + 2x) = 6 + -1(2x + -4) Reorder the terms: -2 + 3x + 2x = 6 + -1(2x + -4) Combine like terms: 3x + 2x = 5x -2 + 5x = 6 + -1(2x + -4) Reorder the terms: -2 + 5x = 6 + -1(-4 + 2x) -2 + 5x = 6 + (-4 * -1 + 2x * -1) -2 + 5x = 6 + (4 + -2x) Combine like terms: 6 + 4 = 10 -2 + 5x = 10 + -2x Solving -2 + 5x = 10 + -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. -2 + 5x + 2x = 10 + -2x + 2x Combine like terms: 5x + 2x = 7x -2 + 7x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 7x = 10 + 0 -2 + 7x = 10 Add '2' to each side of the equation. -2 + 2 + 7x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 10 + 2 7x = 10 + 2 Combine like terms: 10 + 2 = 12 7x = 12 Divide each side by '7'. x = 1.714285714 Simplifying x = 1.714285714
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