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Simplifying -3x + 2 = 8 + -6(2 + -1x) Reorder the terms: 2 + -3x = 8 + -6(2 + -1x) 2 + -3x = 8 + (2 * -6 + -1x * -6) 2 + -3x = 8 + (-12 + 6x) Combine like terms: 8 + -12 = -4 2 + -3x = -4 + 6x Solving 2 + -3x = -4 + 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. 2 + -3x + -6x = -4 + 6x + -6x Combine like terms: -3x + -6x = -9x 2 + -9x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -9x = -4 + 0 2 + -9x = -4 Add '-2' to each side of the equation. 2 + -2 + -9x = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = -4 + -2 -9x = -4 + -2 Combine like terms: -4 + -2 = -6 -9x = -6 Divide each side by '-9'. x = 0.6666666667 Simplifying x = 0.6666666667
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