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Simplifying 7x + -2(1 + -1x) = 3(x + -1) 7x + (1 * -2 + -1x * -2) = 3(x + -1) 7x + (-2 + 2x) = 3(x + -1) Reorder the terms: -2 + 7x + 2x = 3(x + -1) Combine like terms: 7x + 2x = 9x -2 + 9x = 3(x + -1) Reorder the terms: -2 + 9x = 3(-1 + x) -2 + 9x = (-1 * 3 + x * 3) -2 + 9x = (-3 + 3x) Solving -2 + 9x = -3 + 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 + 9x + -3x = -3 + 3x + -3x Combine like terms: 9x + -3x = 6x -2 + 6x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 6x = -3 + 0 -2 + 6x = -3 Add '2' to each side of the equation. -2 + 2 + 6x = -3 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = -3 + 2 6x = -3 + 2 Combine like terms: -3 + 2 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667
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