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Simplifying 12(2x + 3) = 3(5x + 11) Reorder the terms: 12(3 + 2x) = 3(5x + 11) (3 * 12 + 2x * 12) = 3(5x + 11) (36 + 24x) = 3(5x + 11) Reorder the terms: 36 + 24x = 3(11 + 5x) 36 + 24x = (11 * 3 + 5x * 3) 36 + 24x = (33 + 15x) Solving 36 + 24x = 33 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 36 + 24x + -15x = 33 + 15x + -15x Combine like terms: 24x + -15x = 9x 36 + 9x = 33 + 15x + -15x Combine like terms: 15x + -15x = 0 36 + 9x = 33 + 0 36 + 9x = 33 Add '-36' to each side of the equation. 36 + -36 + 9x = 33 + -36 Combine like terms: 36 + -36 = 0 0 + 9x = 33 + -36 9x = 33 + -36 Combine like terms: 33 + -36 = -3 9x = -3 Divide each side by '9'. x = -0.3333333333 Simplifying x = -0.3333333333
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