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Simplifying 2x + -2(6 + -4x) = 6(x + -5) + -26 2x + (6 * -2 + -4x * -2) = 6(x + -5) + -26 2x + (-12 + 8x) = 6(x + -5) + -26 Reorder the terms: -12 + 2x + 8x = 6(x + -5) + -26 Combine like terms: 2x + 8x = 10x -12 + 10x = 6(x + -5) + -26 Reorder the terms: -12 + 10x = 6(-5 + x) + -26 -12 + 10x = (-5 * 6 + x * 6) + -26 -12 + 10x = (-30 + 6x) + -26 Reorder the terms: -12 + 10x = -30 + -26 + 6x Combine like terms: -30 + -26 = -56 -12 + 10x = -56 + 6x Solving -12 + 10x = -56 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 10x + -6x = -56 + 6x + -6x Combine like terms: 10x + -6x = 4x -12 + 4x = -56 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 4x = -56 + 0 -12 + 4x = -56 Add '12' to each side of the equation. -12 + 12 + 4x = -56 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = -56 + 12 4x = -56 + 12 Combine like terms: -56 + 12 = -44 4x = -44 Divide each side by '4'. x = -11 Simplifying x = -11
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