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Simplifying -3 + 6(1 + 2x) = 2x + 27 -3 + (1 * 6 + 2x * 6) = 2x + 27 -3 + (6 + 12x) = 2x + 27 Combine like terms: -3 + 6 = 3 3 + 12x = 2x + 27 Reorder the terms: 3 + 12x = 27 + 2x Solving 3 + 12x = 27 + 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. 3 + 12x + -2x = 27 + 2x + -2x Combine like terms: 12x + -2x = 10x 3 + 10x = 27 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 10x = 27 + 0 3 + 10x = 27 Add '-3' to each side of the equation. 3 + -3 + 10x = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 10x = 27 + -3 10x = 27 + -3 Combine like terms: 27 + -3 = 24 10x = 24 Divide each side by '10'. x = 2.4 Simplifying x = 2.4
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