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Simplifying -1(3x + 5) + 1 = 3(2 + -4x) + 6 Reorder the terms: -1(5 + 3x) + 1 = 3(2 + -4x) + 6 (5 * -1 + 3x * -1) + 1 = 3(2 + -4x) + 6 (-5 + -3x) + 1 = 3(2 + -4x) + 6 Reorder the terms: -5 + 1 + -3x = 3(2 + -4x) + 6 Combine like terms: -5 + 1 = -4 -4 + -3x = 3(2 + -4x) + 6 -4 + -3x = (2 * 3 + -4x * 3) + 6 -4 + -3x = (6 + -12x) + 6 Reorder the terms: -4 + -3x = 6 + 6 + -12x Combine like terms: 6 + 6 = 12 -4 + -3x = 12 + -12x Solving -4 + -3x = 12 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -4 + -3x + 12x = 12 + -12x + 12x Combine like terms: -3x + 12x = 9x -4 + 9x = 12 + -12x + 12x Combine like terms: -12x + 12x = 0 -4 + 9x = 12 + 0 -4 + 9x = 12 Add '4' to each side of the equation. -4 + 4 + 9x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = 12 + 4 9x = 12 + 4 Combine like terms: 12 + 4 = 16 9x = 16 Divide each side by '9'. x = 1.777777778 Simplifying x = 1.777777778
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