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Simplifying -4(2x + -3) = 6x + 9 + -3x Reorder the terms: -4(-3 + 2x) = 6x + 9 + -3x (-3 * -4 + 2x * -4) = 6x + 9 + -3x (12 + -8x) = 6x + 9 + -3x Reorder the terms: 12 + -8x = 9 + 6x + -3x Combine like terms: 6x + -3x = 3x 12 + -8x = 9 + 3x Solving 12 + -8x = 9 + 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 = 9 + 3x + -3x Combine like terms: -8x + -3x = -11x 12 + -11x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -11x = 9 + 0 12 + -11x = 9 Add '-12' to each side of the equation. 12 + -12 + -11x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = 9 + -12 -11x = 9 + -12 Combine like terms: 9 + -12 = -3 -11x = -3 Divide each side by '-11'. x = 0.2727272727 Simplifying x = 0.2727272727
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