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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 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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