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