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Simplifying 36(x + -11) = 25(x + 11) Reorder the terms: 36(-11 + x) = 25(x + 11) (-11 * 36 + x * 36) = 25(x + 11) (-396 + 36x) = 25(x + 11) Reorder the terms: -396 + 36x = 25(11 + x) -396 + 36x = (11 * 25 + x * 25) -396 + 36x = (275 + 25x) Solving -396 + 36x = 275 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -396 + 36x + -25x = 275 + 25x + -25x Combine like terms: 36x + -25x = 11x -396 + 11x = 275 + 25x + -25x Combine like terms: 25x + -25x = 0 -396 + 11x = 275 + 0 -396 + 11x = 275 Add '396' to each side of the equation. -396 + 396 + 11x = 275 + 396 Combine like terms: -396 + 396 = 0 0 + 11x = 275 + 396 11x = 275 + 396 Combine like terms: 275 + 396 = 671 11x = 671 Divide each side by '11'. x = 61 Simplifying x = 61
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