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Simplifying 11x + -9 = 2(5x + 5) + -1 Reorder the terms: -9 + 11x = 2(5x + 5) + -1 Reorder the terms: -9 + 11x = 2(5 + 5x) + -1 -9 + 11x = (5 * 2 + 5x * 2) + -1 -9 + 11x = (10 + 10x) + -1 Reorder the terms: -9 + 11x = 10 + -1 + 10x Combine like terms: 10 + -1 = 9 -9 + 11x = 9 + 10x Solving -9 + 11x = 9 + 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. -9 + 11x + -10x = 9 + 10x + -10x Combine like terms: 11x + -10x = 1x -9 + 1x = 9 + 10x + -10x Combine like terms: 10x + -10x = 0 -9 + 1x = 9 + 0 -9 + 1x = 9 Add '9' to each side of the equation. -9 + 9 + 1x = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 9 + 9 1x = 9 + 9 Combine like terms: 9 + 9 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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