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Simplifying 204 = 3x + 9 + 3x + 9 + -42 Reorder the terms: 204 = 9 + 9 + -42 + 3x + 3x Combine like terms: 9 + 9 = 18 204 = 18 + -42 + 3x + 3x Combine like terms: 18 + -42 = -24 204 = -24 + 3x + 3x Combine like terms: 3x + 3x = 6x 204 = -24 + 6x Solving 204 = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 204 + -6x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 204 + -6x = -24 + 0 204 + -6x = -24 Add '-204' to each side of the equation. 204 + -204 + -6x = -24 + -204 Combine like terms: 204 + -204 = 0 0 + -6x = -24 + -204 -6x = -24 + -204 Combine like terms: -24 + -204 = -228 -6x = -228 Divide each side by '-6'. x = 38 Simplifying x = 38
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