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Simplifying 12 + -6x(x + -1) + -2x(1 + -3x) = 2 + -3(x + -1) Reorder the terms: 12 + -6x(-1 + x) + -2x(1 + -3x) = 2 + -3(x + -1) 12 + (-1 * -6x + x * -6x) + -2x(1 + -3x) = 2 + -3(x + -1) 12 + (6x + -6x2) + -2x(1 + -3x) = 2 + -3(x + -1) 12 + 6x + -6x2 + (1 * -2x + -3x * -2x) = 2 + -3(x + -1) 12 + 6x + -6x2 + (-2x + 6x2) = 2 + -3(x + -1) Reorder the terms: 12 + 6x + -2x + -6x2 + 6x2 = 2 + -3(x + -1) Combine like terms: 6x + -2x = 4x 12 + 4x + -6x2 + 6x2 = 2 + -3(x + -1) Combine like terms: -6x2 + 6x2 = 0 12 + 4x + 0 = 2 + -3(x + -1) 12 + 4x = 2 + -3(x + -1) Reorder the terms: 12 + 4x = 2 + -3(-1 + x) 12 + 4x = 2 + (-1 * -3 + x * -3) 12 + 4x = 2 + (3 + -3x) Combine like terms: 2 + 3 = 5 12 + 4x = 5 + -3x Solving 12 + 4x = 5 + -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. 12 + 4x + 3x = 5 + -3x + 3x Combine like terms: 4x + 3x = 7x 12 + 7x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 7x = 5 + 0 12 + 7x = 5 Add '-12' to each side of the equation. 12 + -12 + 7x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 5 + -12 7x = 5 + -12 Combine like terms: 5 + -12 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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