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Simplifying 6(1 + 2x) = 3x + 21 (1 * 6 + 2x * 6) = 3x + 21 (6 + 12x) = 3x + 21 Reorder the terms: 6 + 12x = 21 + 3x Solving 6 + 12x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 12x + -3x = 21 + 3x + -3x Combine like terms: 12x + -3x = 9x 6 + 9x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 9x = 21 + 0 6 + 9x = 21 Add '-6' to each side of the equation. 6 + -6 + 9x = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 21 + -6 9x = 21 + -6 Combine like terms: 21 + -6 = 15 9x = 15 Divide each side by '9'. x = 1.666666667 Simplifying x = 1.666666667
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