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Simplifying 3(2x + 6) = -2(x + 3) Reorder the terms: 3(6 + 2x) = -2(x + 3) (6 * 3 + 2x * 3) = -2(x + 3) (18 + 6x) = -2(x + 3) Reorder the terms: 18 + 6x = -2(3 + x) 18 + 6x = (3 * -2 + x * -2) 18 + 6x = (-6 + -2x) Solving 18 + 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. 18 + 6x + 2x = -6 + -2x + 2x Combine like terms: 6x + 2x = 8x 18 + 8x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + 8x = -6 + 0 18 + 8x = -6 Add '-18' to each side of the equation. 18 + -18 + 8x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = -6 + -18 8x = -6 + -18 Combine like terms: -6 + -18 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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