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Simplifying 3x + -1(3 + -2x) = 8 + -7(x + 1) 3x + (3 * -1 + -2x * -1) = 8 + -7(x + 1) 3x + (-3 + 2x) = 8 + -7(x + 1) Reorder the terms: -3 + 3x + 2x = 8 + -7(x + 1) Combine like terms: 3x + 2x = 5x -3 + 5x = 8 + -7(x + 1) Reorder the terms: -3 + 5x = 8 + -7(1 + x) -3 + 5x = 8 + (1 * -7 + x * -7) -3 + 5x = 8 + (-7 + -7x) Combine like terms: 8 + -7 = 1 -3 + 5x = 1 + -7x Solving -3 + 5x = 1 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -3 + 5x + 7x = 1 + -7x + 7x Combine like terms: 5x + 7x = 12x -3 + 12x = 1 + -7x + 7x Combine like terms: -7x + 7x = 0 -3 + 12x = 1 + 0 -3 + 12x = 1 Add '3' to each side of the equation. -3 + 3 + 12x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 12x = 1 + 3 12x = 1 + 3 Combine like terms: 1 + 3 = 4 12x = 4 Divide each side by '12'. x = 0.3333333333 Simplifying x = 0.3333333333
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