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