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Simplifying 5x + 204 = 11x + 102 Reorder the terms: 204 + 5x = 11x + 102 Reorder the terms: 204 + 5x = 102 + 11x Solving 204 + 5x = 102 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 204 + 5x + -11x = 102 + 11x + -11x Combine like terms: 5x + -11x = -6x 204 + -6x = 102 + 11x + -11x Combine like terms: 11x + -11x = 0 204 + -6x = 102 + 0 204 + -6x = 102 Add '-204' to each side of the equation. 204 + -204 + -6x = 102 + -204 Combine like terms: 204 + -204 = 0 0 + -6x = 102 + -204 -6x = 102 + -204 Combine like terms: 102 + -204 = -102 -6x = -102 Divide each side by '-6'. x = 17 Simplifying x = 17
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