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Simplifying 27 = 12 + x + (1.5x) Combine like terms: x + (1.5x) = 2.5x 27 = 12 + 2.5x Solving 27 = 12 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 27 + -2.5x = 12 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 27 + -2.5x = 12 + 0.0 27 + -2.5x = 12 Add '-27' to each side of the equation. 27 + -27 + -2.5x = 12 + -27 Combine like terms: 27 + -27 = 0 0 + -2.5x = 12 + -27 -2.5x = 12 + -27 Combine like terms: 12 + -27 = -15 -2.5x = -15 Divide each side by '-2.5'. x = 6 Simplifying x = 6
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