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Simplifying 3x + 2(2x + -1) = 5(x + 4) Reorder the terms: 3x + 2(-1 + 2x) = 5(x + 4) 3x + (-1 * 2 + 2x * 2) = 5(x + 4) 3x + (-2 + 4x) = 5(x + 4) Reorder the terms: -2 + 3x + 4x = 5(x + 4) Combine like terms: 3x + 4x = 7x -2 + 7x = 5(x + 4) Reorder the terms: -2 + 7x = 5(4 + x) -2 + 7x = (4 * 5 + x * 5) -2 + 7x = (20 + 5x) Solving -2 + 7x = 20 + 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. -2 + 7x + -5x = 20 + 5x + -5x Combine like terms: 7x + -5x = 2x -2 + 2x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 2x = 20 + 0 -2 + 2x = 20 Add '2' to each side of the equation. -2 + 2 + 2x = 20 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 20 + 2 2x = 20 + 2 Combine like terms: 20 + 2 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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