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Simplifying -2(4x + -6) = 3x Reorder the terms: -2(-6 + 4x) = 3x (-6 * -2 + 4x * -2) = 3x (12 + -8x) = 3x Solving 12 + -8x = 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 + -8x + -3x = 3x + -3x Combine like terms: -8x + -3x = -11x 12 + -11x = 3x + -3x Combine like terms: 3x + -3x = 0 12 + -11x = 0 Add '-12' to each side of the equation. 12 + -12 + -11x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = 0 + -12 -11x = 0 + -12 Combine like terms: 0 + -12 = -12 -11x = -12 Divide each side by '-11'. x = 1.090909091 Simplifying x = 1.090909091
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