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Simplifying -2(3x + -2) + -4 = -2(6x + 8) + -2 Reorder the terms: -2(-2 + 3x) + -4 = -2(6x + 8) + -2 (-2 * -2 + 3x * -2) + -4 = -2(6x + 8) + -2 (4 + -6x) + -4 = -2(6x + 8) + -2 Reorder the terms: 4 + -4 + -6x = -2(6x + 8) + -2 Combine like terms: 4 + -4 = 0 0 + -6x = -2(6x + 8) + -2 -6x = -2(6x + 8) + -2 Reorder the terms: -6x = -2(8 + 6x) + -2 -6x = (8 * -2 + 6x * -2) + -2 -6x = (-16 + -12x) + -2 Reorder the terms: -6x = -16 + -2 + -12x Combine like terms: -16 + -2 = -18 -6x = -18 + -12x Solving -6x = -18 + -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. -6x + 12x = -18 + -12x + 12x Combine like terms: -6x + 12x = 6x 6x = -18 + -12x + 12x Combine like terms: -12x + 12x = 0 6x = -18 + 0 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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