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Simplifying 6(x + -2) = 2(9x + -2) Reorder the terms: 6(-2 + x) = 2(9x + -2) (-2 * 6 + x * 6) = 2(9x + -2) (-12 + 6x) = 2(9x + -2) Reorder the terms: -12 + 6x = 2(-2 + 9x) -12 + 6x = (-2 * 2 + 9x * 2) -12 + 6x = (-4 + 18x) Solving -12 + 6x = -4 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -12 + 6x + -18x = -4 + 18x + -18x Combine like terms: 6x + -18x = -12x -12 + -12x = -4 + 18x + -18x Combine like terms: 18x + -18x = 0 -12 + -12x = -4 + 0 -12 + -12x = -4 Add '12' to each side of the equation. -12 + 12 + -12x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + -12x = -4 + 12 -12x = -4 + 12 Combine like terms: -4 + 12 = 8 -12x = 8 Divide each side by '-12'. x = -0.6666666667 Simplifying x = -0.6666666667
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