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Simplifying 3(2x + 3) = 6 + -2x Reorder the terms: 3(3 + 2x) = 6 + -2x (3 * 3 + 2x * 3) = 6 + -2x (9 + 6x) = 6 + -2x Solving 9 + 6x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 9 + 6x + 2x = 6 + -2x + 2x Combine like terms: 6x + 2x = 8x 9 + 8x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + 8x = 6 + 0 9 + 8x = 6 Add '-9' to each side of the equation. 9 + -9 + 8x = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 6 + -9 8x = 6 + -9 Combine like terms: 6 + -9 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375
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