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Simplifying 6(x + -2) = -3(4x + 2) Reorder the terms: 6(-2 + x) = -3(4x + 2) (-2 * 6 + x * 6) = -3(4x + 2) (-12 + 6x) = -3(4x + 2) Reorder the terms: -12 + 6x = -3(2 + 4x) -12 + 6x = (2 * -3 + 4x * -3) -12 + 6x = (-6 + -12x) Solving -12 + 6x = -6 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -12 + 6x + 12x = -6 + -12x + 12x Combine like terms: 6x + 12x = 18x -12 + 18x = -6 + -12x + 12x Combine like terms: -12x + 12x = 0 -12 + 18x = -6 + 0 -12 + 18x = -6 Add '12' to each side of the equation. -12 + 12 + 18x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 18x = -6 + 12 18x = -6 + 12 Combine like terms: -6 + 12 = 6 18x = 6 Divide each side by '18'. x = 0.3333333333 Simplifying x = 0.3333333333
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