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Simplifying 11x + -1 = 2(5x + 5) + -9 Reorder the terms: -1 + 11x = 2(5x + 5) + -9 Reorder the terms: -1 + 11x = 2(5 + 5x) + -9 -1 + 11x = (5 * 2 + 5x * 2) + -9 -1 + 11x = (10 + 10x) + -9 Reorder the terms: -1 + 11x = 10 + -9 + 10x Combine like terms: 10 + -9 = 1 -1 + 11x = 1 + 10x Solving -1 + 11x = 1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -1 + 11x + -10x = 1 + 10x + -10x Combine like terms: 11x + -10x = 1x -1 + 1x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 -1 + 1x = 1 + 0 -1 + 1x = 1 Add '1' to each side of the equation. -1 + 1 + 1x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 1 + 1 1x = 1 + 1 Combine like terms: 1 + 1 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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