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Simplifying 9x + -6x + 204 = 9x + 102 Reorder the terms: 204 + 9x + -6x = 9x + 102 Combine like terms: 9x + -6x = 3x 204 + 3x = 9x + 102 Reorder the terms: 204 + 3x = 102 + 9x Solving 204 + 3x = 102 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 204 + 3x + -9x = 102 + 9x + -9x Combine like terms: 3x + -9x = -6x 204 + -6x = 102 + 9x + -9x Combine like terms: 9x + -9x = 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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