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Simplifying 3(2x + 6) = 2(2x + -4) Reorder the terms: 3(6 + 2x) = 2(2x + -4) (6 * 3 + 2x * 3) = 2(2x + -4) (18 + 6x) = 2(2x + -4) Reorder the terms: 18 + 6x = 2(-4 + 2x) 18 + 6x = (-4 * 2 + 2x * 2) 18 + 6x = (-8 + 4x) Solving 18 + 6x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + 6x + -4x = -8 + 4x + -4x Combine like terms: 6x + -4x = 2x 18 + 2x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + 2x = -8 + 0 18 + 2x = -8 Add '-18' to each side of the equation. 18 + -18 + 2x = -8 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = -8 + -18 2x = -8 + -18 Combine like terms: -8 + -18 = -26 2x = -26 Divide each side by '2'. x = -13 Simplifying x = -13
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