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Simplifying 6(-2 + -1x) = 3(4 + x) (-2 * 6 + -1x * 6) = 3(4 + x) (-12 + -6x) = 3(4 + x) -12 + -6x = (4 * 3 + x * 3) -12 + -6x = (12 + 3x) Solving -12 + -6x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + -6x + -3x = 12 + 3x + -3x Combine like terms: -6x + -3x = -9x -12 + -9x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -9x = 12 + 0 -12 + -9x = 12 Add '12' to each side of the equation. -12 + 12 + -9x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -9x = 12 + 12 -9x = 12 + 12 Combine like terms: 12 + 12 = 24 -9x = 24 Divide each side by '-9'. x = -2.666666667 Simplifying x = -2.666666667
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