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Simplifying 11x + -5 = 2(5x + 3) + -1 Reorder the terms: -5 + 11x = 2(5x + 3) + -1 Reorder the terms: -5 + 11x = 2(3 + 5x) + -1 -5 + 11x = (3 * 2 + 5x * 2) + -1 -5 + 11x = (6 + 10x) + -1 Reorder the terms: -5 + 11x = 6 + -1 + 10x Combine like terms: 6 + -1 = 5 -5 + 11x = 5 + 10x Solving -5 + 11x = 5 + 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. -5 + 11x + -10x = 5 + 10x + -10x Combine like terms: 11x + -10x = 1x -5 + 1x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + 1x = 5 + 0 -5 + 1x = 5 Add '5' to each side of the equation. -5 + 5 + 1x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 5 + 5 1x = 5 + 5 Combine like terms: 5 + 5 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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