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Simplifying 7 + 2.5 = 12 + 1.5x Combine like terms: 7 + 2.5 = 9.5 9.5 = 12 + 1.5x Solving 9.5 = 12 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 9.5 + -1.5x = 12 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 9.5 + -1.5x = 12 + 0.0 9.5 + -1.5x = 12 Add '-9.5' to each side of the equation. 9.5 + -9.5 + -1.5x = 12 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + -1.5x = 12 + -9.5 -1.5x = 12 + -9.5 Combine like terms: 12 + -9.5 = 2.5 -1.5x = 2.5 Divide each side by '-1.5'. x = -1.666666667 Simplifying x = -1.666666667
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