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Simplifying 3(x + 6) = -6 + 2x Reorder the terms: 3(6 + x) = -6 + 2x (6 * 3 + x * 3) = -6 + 2x (18 + 3x) = -6 + 2x Solving 18 + 3x = -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 + 3x + -2x = -6 + 2x + -2x Combine like terms: 3x + -2x = 1x 18 + 1x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 1x = -6 + 0 18 + 1x = -6 Add '-18' to each side of the equation. 18 + -18 + 1x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = -6 + -18 1x = -6 + -18 Combine like terms: -6 + -18 = -24 1x = -24 Divide each side by '1'. x = -24 Simplifying x = -24
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