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Simplifying 6x + 4 + 5(x + 6) = 12 Reorder the terms: 6x + 4 + 5(6 + x) = 12 6x + 4 + (6 * 5 + x * 5) = 12 6x + 4 + (30 + 5x) = 12 Reorder the terms: 4 + 30 + 6x + 5x = 12 Combine like terms: 4 + 30 = 34 34 + 6x + 5x = 12 Combine like terms: 6x + 5x = 11x 34 + 11x = 12 Solving 34 + 11x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 11x = 12 + -34 Combine like terms: 34 + -34 = 0 0 + 11x = 12 + -34 11x = 12 + -34 Combine like terms: 12 + -34 = -22 11x = -22 Divide each side by '11'. x = -2 Simplifying x = -2
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