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Simplifying 2(3 + 2x) = 2(x + -6) (3 * 2 + 2x * 2) = 2(x + -6) (6 + 4x) = 2(x + -6) Reorder the terms: 6 + 4x = 2(-6 + x) 6 + 4x = (-6 * 2 + x * 2) 6 + 4x = (-12 + 2x) Solving 6 + 4x = -12 + 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. 6 + 4x + -2x = -12 + 2x + -2x Combine like terms: 4x + -2x = 2x 6 + 2x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 2x = -12 + 0 6 + 2x = -12 Add '-6' to each side of the equation. 6 + -6 + 2x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -12 + -6 2x = -12 + -6 Combine like terms: -12 + -6 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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