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Simplifying 3(4x + -1) + 11 = 5x + 22 Reorder the terms: 3(-1 + 4x) + 11 = 5x + 22 (-1 * 3 + 4x * 3) + 11 = 5x + 22 (-3 + 12x) + 11 = 5x + 22 Reorder the terms: -3 + 11 + 12x = 5x + 22 Combine like terms: -3 + 11 = 8 8 + 12x = 5x + 22 Reorder the terms: 8 + 12x = 22 + 5x Solving 8 + 12x = 22 + 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. 8 + 12x + -5x = 22 + 5x + -5x Combine like terms: 12x + -5x = 7x 8 + 7x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 7x = 22 + 0 8 + 7x = 22 Add '-8' to each side of the equation. 8 + -8 + 7x = 22 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 22 + -8 7x = 22 + -8 Combine like terms: 22 + -8 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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