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Simplifying 11x + -1(2 + -3x) = 4x + 48 11x + (2 * -1 + -3x * -1) = 4x + 48 11x + (-2 + 3x) = 4x + 48 Reorder the terms: -2 + 11x + 3x = 4x + 48 Combine like terms: 11x + 3x = 14x -2 + 14x = 4x + 48 Reorder the terms: -2 + 14x = 48 + 4x Solving -2 + 14x = 48 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 14x + -4x = 48 + 4x + -4x Combine like terms: 14x + -4x = 10x -2 + 10x = 48 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 10x = 48 + 0 -2 + 10x = 48 Add '2' to each side of the equation. -2 + 2 + 10x = 48 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = 48 + 2 10x = 48 + 2 Combine like terms: 48 + 2 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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