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Simplifying -3x + -2(1 + -4x) = 12 + 3(3x + -2) -3x + (1 * -2 + -4x * -2) = 12 + 3(3x + -2) -3x + (-2 + 8x) = 12 + 3(3x + -2) Reorder the terms: -2 + -3x + 8x = 12 + 3(3x + -2) Combine like terms: -3x + 8x = 5x -2 + 5x = 12 + 3(3x + -2) Reorder the terms: -2 + 5x = 12 + 3(-2 + 3x) -2 + 5x = 12 + (-2 * 3 + 3x * 3) -2 + 5x = 12 + (-6 + 9x) Combine like terms: 12 + -6 = 6 -2 + 5x = 6 + 9x Solving -2 + 5x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + 5x + -9x = 6 + 9x + -9x Combine like terms: 5x + -9x = -4x -2 + -4x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -4x = 6 + 0 -2 + -4x = 6 Add '2' to each side of the equation. -2 + 2 + -4x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 6 + 2 -4x = 6 + 2 Combine like terms: 6 + 2 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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