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Simplifying -6(2x + 8) = -2(x + -1) Reorder the terms: -6(8 + 2x) = -2(x + -1) (8 * -6 + 2x * -6) = -2(x + -1) (-48 + -12x) = -2(x + -1) Reorder the terms: -48 + -12x = -2(-1 + x) -48 + -12x = (-1 * -2 + x * -2) -48 + -12x = (2 + -2x) Solving -48 + -12x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -48 + -12x + 2x = 2 + -2x + 2x Combine like terms: -12x + 2x = -10x -48 + -10x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -48 + -10x = 2 + 0 -48 + -10x = 2 Add '48' to each side of the equation. -48 + 48 + -10x = 2 + 48 Combine like terms: -48 + 48 = 0 0 + -10x = 2 + 48 -10x = 2 + 48 Combine like terms: 2 + 48 = 50 -10x = 50 Divide each side by '-10'. x = -5 Simplifying x = -5
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