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Simplifying 5 + 4(3x + 1) = 11x + 44 + -6x Reorder the terms: 5 + 4(1 + 3x) = 11x + 44 + -6x 5 + (1 * 4 + 3x * 4) = 11x + 44 + -6x 5 + (4 + 12x) = 11x + 44 + -6x Combine like terms: 5 + 4 = 9 9 + 12x = 11x + 44 + -6x Reorder the terms: 9 + 12x = 44 + 11x + -6x Combine like terms: 11x + -6x = 5x 9 + 12x = 44 + 5x Solving 9 + 12x = 44 + 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. 9 + 12x + -5x = 44 + 5x + -5x Combine like terms: 12x + -5x = 7x 9 + 7x = 44 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 7x = 44 + 0 9 + 7x = 44 Add '-9' to each side of the equation. 9 + -9 + 7x = 44 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 44 + -9 7x = 44 + -9 Combine like terms: 44 + -9 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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