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Simplifying 3(6x + 11) + -9 = 2(7x + 5) + -34 Reorder the terms: 3(11 + 6x) + -9 = 2(7x + 5) + -34 (11 * 3 + 6x * 3) + -9 = 2(7x + 5) + -34 (33 + 18x) + -9 = 2(7x + 5) + -34 Reorder the terms: 33 + -9 + 18x = 2(7x + 5) + -34 Combine like terms: 33 + -9 = 24 24 + 18x = 2(7x + 5) + -34 Reorder the terms: 24 + 18x = 2(5 + 7x) + -34 24 + 18x = (5 * 2 + 7x * 2) + -34 24 + 18x = (10 + 14x) + -34 Reorder the terms: 24 + 18x = 10 + -34 + 14x Combine like terms: 10 + -34 = -24 24 + 18x = -24 + 14x Solving 24 + 18x = -24 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 24 + 18x + -14x = -24 + 14x + -14x Combine like terms: 18x + -14x = 4x 24 + 4x = -24 + 14x + -14x Combine like terms: 14x + -14x = 0 24 + 4x = -24 + 0 24 + 4x = -24 Add '-24' to each side of the equation. 24 + -24 + 4x = -24 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = -24 + -24 4x = -24 + -24 Combine like terms: -24 + -24 = -48 4x = -48 Divide each side by '4'. x = -12 Simplifying x = -12
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