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Simplifying 3(1 + 2x) = 2x + 27 (1 * 3 + 2x * 3) = 2x + 27 (3 + 6x) = 2x + 27 Reorder the terms: 3 + 6x = 27 + 2x Solving 3 + 6x = 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 + 6x + -2x = 27 + 2x + -2x Combine like terms: 6x + -2x = 4x 3 + 4x = 27 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 4x = 27 + 0 3 + 4x = 27 Add '-3' to each side of the equation. 3 + -3 + 4x = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 27 + -3 4x = 27 + -3 Combine like terms: 27 + -3 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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