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Simplifying 10.5x + 6 + 2.25(2) + 3x = 39.75 Multiply 2.25 * 2 10.5x + 6 + 4.5 + 3x = 39.75 Reorder the terms: 6 + 4.5 + 10.5x + 3x = 39.75 Combine like terms: 6 + 4.5 = 10.5 10.5 + 10.5x + 3x = 39.75 Combine like terms: 10.5x + 3x = 13.5x 10.5 + 13.5x = 39.75 Solving 10.5 + 13.5x = 39.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.5' to each side of the equation. 10.5 + -10.5 + 13.5x = 39.75 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + 13.5x = 39.75 + -10.5 13.5x = 39.75 + -10.5 Combine like terms: 39.75 + -10.5 = 29.25 13.5x = 29.25 Divide each side by '13.5'. x = 2.166666667 Simplifying x = 2.166666667
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