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Simplifying 3(2x + 3) = -4(2x + -3) Reorder the terms: 3(3 + 2x) = -4(2x + -3) (3 * 3 + 2x * 3) = -4(2x + -3) (9 + 6x) = -4(2x + -3) Reorder the terms: 9 + 6x = -4(-3 + 2x) 9 + 6x = (-3 * -4 + 2x * -4) 9 + 6x = (12 + -8x) Solving 9 + 6x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 9 + 6x + 8x = 12 + -8x + 8x Combine like terms: 6x + 8x = 14x 9 + 14x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 9 + 14x = 12 + 0 9 + 14x = 12 Add '-9' to each side of the equation. 9 + -9 + 14x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 14x = 12 + -9 14x = 12 + -9 Combine like terms: 12 + -9 = 3 14x = 3 Divide each side by '14'. x = 0.2142857143 Simplifying x = 0.2142857143
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