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Simplifying 6(2x + 11) = 9x + 33 Reorder the terms: 6(11 + 2x) = 9x + 33 (11 * 6 + 2x * 6) = 9x + 33 (66 + 12x) = 9x + 33 Reorder the terms: 66 + 12x = 33 + 9x Solving 66 + 12x = 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. 66 + 12x + -9x = 33 + 9x + -9x Combine like terms: 12x + -9x = 3x 66 + 3x = 33 + 9x + -9x Combine like terms: 9x + -9x = 0 66 + 3x = 33 + 0 66 + 3x = 33 Add '-66' to each side of the equation. 66 + -66 + 3x = 33 + -66 Combine like terms: 66 + -66 = 0 0 + 3x = 33 + -66 3x = 33 + -66 Combine like terms: 33 + -66 = -33 3x = -33 Divide each side by '3'. x = -11 Simplifying x = -11
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