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Simplifying 11x + 1 = 2(5x + -2) + 5 Reorder the terms: 1 + 11x = 2(5x + -2) + 5 Reorder the terms: 1 + 11x = 2(-2 + 5x) + 5 1 + 11x = (-2 * 2 + 5x * 2) + 5 1 + 11x = (-4 + 10x) + 5 Reorder the terms: 1 + 11x = -4 + 5 + 10x Combine like terms: -4 + 5 = 1 1 + 11x = 1 + 10x Add '-1' to each side of the equation. 1 + -1 + 11x = 1 + -1 + 10x Combine like terms: 1 + -1 = 0 0 + 11x = 1 + -1 + 10x 11x = 1 + -1 + 10x Combine like terms: 1 + -1 = 0 11x = 0 + 10x 11x = 10x Solving 11x = 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. 11x + -10x = 10x + -10x Combine like terms: 11x + -10x = 1x 1x = 10x + -10x Combine like terms: 10x + -10x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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