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Simplifying 2(1 + 2x) = 6(x + 3) (1 * 2 + 2x * 2) = 6(x + 3) (2 + 4x) = 6(x + 3) Reorder the terms: 2 + 4x = 6(3 + x) 2 + 4x = (3 * 6 + x * 6) 2 + 4x = (18 + 6x) Solving 2 + 4x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 4x + -6x = 18 + 6x + -6x Combine like terms: 4x + -6x = -2x 2 + -2x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -2x = 18 + 0 2 + -2x = 18 Add '-2' to each side of the equation. 2 + -2 + -2x = 18 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 18 + -2 -2x = 18 + -2 Combine like terms: 18 + -2 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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