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Simplifying 6(3x + 1) = 3(3x + 11) Reorder the terms: 6(1 + 3x) = 3(3x + 11) (1 * 6 + 3x * 6) = 3(3x + 11) (6 + 18x) = 3(3x + 11) Reorder the terms: 6 + 18x = 3(11 + 3x) 6 + 18x = (11 * 3 + 3x * 3) 6 + 18x = (33 + 9x) Solving 6 + 18x = 33 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6 + 18x + -9x = 33 + 9x + -9x Combine like terms: 18x + -9x = 9x 6 + 9x = 33 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + 9x = 33 + 0 6 + 9x = 33 Add '-6' to each side of the equation. 6 + -6 + 9x = 33 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 33 + -6 9x = 33 + -6 Combine like terms: 33 + -6 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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