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Simplifying -3(2 + -4x) + 3 = -2 + 3x + 8 (2 * -3 + -4x * -3) + 3 = -2 + 3x + 8 (-6 + 12x) + 3 = -2 + 3x + 8 Reorder the terms: -6 + 3 + 12x = -2 + 3x + 8 Combine like terms: -6 + 3 = -3 -3 + 12x = -2 + 3x + 8 Reorder the terms: -3 + 12x = -2 + 8 + 3x Combine like terms: -2 + 8 = 6 -3 + 12x = 6 + 3x Solving -3 + 12x = 6 + 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. -3 + 12x + -3x = 6 + 3x + -3x Combine like terms: 12x + -3x = 9x -3 + 9x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 9x = 6 + 0 -3 + 9x = 6 Add '3' to each side of the equation. -3 + 3 + 9x = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 6 + 3 9x = 6 + 3 Combine like terms: 6 + 3 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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