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Simplifying 11x + -53 = 2x + 82 Reorder the terms: -53 + 11x = 2x + 82 Reorder the terms: -53 + 11x = 82 + 2x Solving -53 + 11x = 82 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -53 + 11x + -2x = 82 + 2x + -2x Combine like terms: 11x + -2x = 9x -53 + 9x = 82 + 2x + -2x Combine like terms: 2x + -2x = 0 -53 + 9x = 82 + 0 -53 + 9x = 82 Add '53' to each side of the equation. -53 + 53 + 9x = 82 + 53 Combine like terms: -53 + 53 = 0 0 + 9x = 82 + 53 9x = 82 + 53 Combine like terms: 82 + 53 = 135 9x = 135 Divide each side by '9'. x = 15 Simplifying x = 15
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