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Simplifying -4(2x + 3) = 2(3x + -2) Reorder the terms: -4(3 + 2x) = 2(3x + -2) (3 * -4 + 2x * -4) = 2(3x + -2) (-12 + -8x) = 2(3x + -2) Reorder the terms: -12 + -8x = 2(-2 + 3x) -12 + -8x = (-2 * 2 + 3x * 2) -12 + -8x = (-4 + 6x) Solving -12 + -8x = -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. -12 + -8x + -6x = -4 + 6x + -6x Combine like terms: -8x + -6x = -14x -12 + -14x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -14x = -4 + 0 -12 + -14x = -4 Add '12' to each side of the equation. -12 + 12 + -14x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + -14x = -4 + 12 -14x = -4 + 12 Combine like terms: -4 + 12 = 8 -14x = 8 Divide each side by '-14'. x = -0.5714285714 Simplifying x = -0.5714285714
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