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Simplifying 25x + -13 = 204 + -6x Reorder the terms: -13 + 25x = 204 + -6x Solving -13 + 25x = 204 + -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. -13 + 25x + 6x = 204 + -6x + 6x Combine like terms: 25x + 6x = 31x -13 + 31x = 204 + -6x + 6x Combine like terms: -6x + 6x = 0 -13 + 31x = 204 + 0 -13 + 31x = 204 Add '13' to each side of the equation. -13 + 13 + 31x = 204 + 13 Combine like terms: -13 + 13 = 0 0 + 31x = 204 + 13 31x = 204 + 13 Combine like terms: 204 + 13 = 217 31x = 217 Divide each side by '31'. x = 7 Simplifying x = 7
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