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Simplifying 3.5x + 36 = 12.25 + 6x Reorder the terms: 36 + 3.5x = 12.25 + 6x Solving 36 + 3.5x = 12.25 + 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. 36 + 3.5x + -6x = 12.25 + 6x + -6x Combine like terms: 3.5x + -6x = -2.5x 36 + -2.5x = 12.25 + 6x + -6x Combine like terms: 6x + -6x = 0 36 + -2.5x = 12.25 + 0 36 + -2.5x = 12.25 Add '-36' to each side of the equation. 36 + -36 + -2.5x = 12.25 + -36 Combine like terms: 36 + -36 = 0 0 + -2.5x = 12.25 + -36 -2.5x = 12.25 + -36 Combine like terms: 12.25 + -36 = -23.75 -2.5x = -23.75 Divide each side by '-2.5'. x = 9.5 Simplifying x = 9.5
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