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Simplifying 11x + -1(-3x + 10) = 4x + 20 Reorder the terms: 11x + -1(10 + -3x) = 4x + 20 11x + (10 * -1 + -3x * -1) = 4x + 20 11x + (-10 + 3x) = 4x + 20 Reorder the terms: -10 + 11x + 3x = 4x + 20 Combine like terms: 11x + 3x = 14x -10 + 14x = 4x + 20 Reorder the terms: -10 + 14x = 20 + 4x Solving -10 + 14x = 20 + 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. -10 + 14x + -4x = 20 + 4x + -4x Combine like terms: 14x + -4x = 10x -10 + 10x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 10x = 20 + 0 -10 + 10x = 20 Add '10' to each side of the equation. -10 + 10 + 10x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = 20 + 10 10x = 20 + 10 Combine like terms: 20 + 10 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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