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Simplifying 6(-2x + -8) = -2(13x + -4) Reorder the terms: 6(-8 + -2x) = -2(13x + -4) (-8 * 6 + -2x * 6) = -2(13x + -4) (-48 + -12x) = -2(13x + -4) Reorder the terms: -48 + -12x = -2(-4 + 13x) -48 + -12x = (-4 * -2 + 13x * -2) -48 + -12x = (8 + -26x) Solving -48 + -12x = 8 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. -48 + -12x + 26x = 8 + -26x + 26x Combine like terms: -12x + 26x = 14x -48 + 14x = 8 + -26x + 26x Combine like terms: -26x + 26x = 0 -48 + 14x = 8 + 0 -48 + 14x = 8 Add '48' to each side of the equation. -48 + 48 + 14x = 8 + 48 Combine like terms: -48 + 48 = 0 0 + 14x = 8 + 48 14x = 8 + 48 Combine like terms: 8 + 48 = 56 14x = 56 Divide each side by '14'. x = 4 Simplifying x = 4
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