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Simplifying x + 21 = 12 + (1.5) * x Reorder the terms: 21 + x = 12 + (1.5) * x Solving 21 + x = 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. 21 + x + -1.5x = 12 + 1.5x + -1.5x Combine like terms: x + -1.5x = -0.5x 21 + -0.5x = 12 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 21 + -0.5x = 12 + 0.0 21 + -0.5x = 12 Add '-21' to each side of the equation. 21 + -21 + -0.5x = 12 + -21 Combine like terms: 21 + -21 = 0 0 + -0.5x = 12 + -21 -0.5x = 12 + -21 Combine like terms: 12 + -21 = -9 -0.5x = -9 Divide each side by '-0.5'. x = 18 Simplifying x = 18
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