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Simplifying -3(2x + -2) + -6 = -2(6x + 10) + -2 Reorder the terms: -3(-2 + 2x) + -6 = -2(6x + 10) + -2 (-2 * -3 + 2x * -3) + -6 = -2(6x + 10) + -2 (6 + -6x) + -6 = -2(6x + 10) + -2 Reorder the terms: 6 + -6 + -6x = -2(6x + 10) + -2 Combine like terms: 6 + -6 = 0 0 + -6x = -2(6x + 10) + -2 -6x = -2(6x + 10) + -2 Reorder the terms: -6x = -2(10 + 6x) + -2 -6x = (10 * -2 + 6x * -2) + -2 -6x = (-20 + -12x) + -2 Reorder the terms: -6x = -20 + -2 + -12x Combine like terms: -20 + -2 = -22 -6x = -22 + -12x Solving -6x = -22 + -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 = -22 + -12x + 12x Combine like terms: -6x + 12x = 6x 6x = -22 + -12x + 12x Combine like terms: -12x + 12x = 0 6x = -22 + 0 6x = -22 Divide each side by '6'. x = -3.666666667 Simplifying x = -3.666666667
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