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Simplifying x + -2(1 + -3x) = 6 + 3(4 + -1x) x + (1 * -2 + -3x * -2) = 6 + 3(4 + -1x) x + (-2 + 6x) = 6 + 3(4 + -1x) Reorder the terms: -2 + x + 6x = 6 + 3(4 + -1x) Combine like terms: x + 6x = 7x -2 + 7x = 6 + 3(4 + -1x) -2 + 7x = 6 + (4 * 3 + -1x * 3) -2 + 7x = 6 + (12 + -3x) Combine like terms: 6 + 12 = 18 -2 + 7x = 18 + -3x Solving -2 + 7x = 18 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + 7x + 3x = 18 + -3x + 3x Combine like terms: 7x + 3x = 10x -2 + 10x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 10x = 18 + 0 -2 + 10x = 18 Add '2' to each side of the equation. -2 + 2 + 10x = 18 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = 18 + 2 10x = 18 + 2 Combine like terms: 18 + 2 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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