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Simplifying -4(2x + -3) = 6x + 9 Reorder the terms: -4(-3 + 2x) = 6x + 9 (-3 * -4 + 2x * -4) = 6x + 9 (12 + -8x) = 6x + 9 Reorder the terms: 12 + -8x = 9 + 6x Solving 12 + -8x = 9 + 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 = 9 + 6x + -6x Combine like terms: -8x + -6x = -14x 12 + -14x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -14x = 9 + 0 12 + -14x = 9 Add '-12' to each side of the equation. 12 + -12 + -14x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -14x = 9 + -12 -14x = 9 + -12 Combine like terms: 9 + -12 = -3 -14x = -3 Divide each side by '-14'. x = 0.2142857143 Simplifying x = 0.2142857143
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