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Simplifying -3x + 6(1 + 2x) = 2x + 27 -3x + (1 * 6 + 2x * 6) = 2x + 27 -3x + (6 + 12x) = 2x + 27 Reorder the terms: 6 + -3x + 12x = 2x + 27 Combine like terms: -3x + 12x = 9x 6 + 9x = 2x + 27 Reorder the terms: 6 + 9x = 27 + 2x Solving 6 + 9x = 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. 6 + 9x + -2x = 27 + 2x + -2x Combine like terms: 9x + -2x = 7x 6 + 7x = 27 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 7x = 27 + 0 6 + 7x = 27 Add '-6' to each side of the equation. 6 + -6 + 7x = 27 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 27 + -6 7x = 27 + -6 Combine like terms: 27 + -6 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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