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