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Simplifying 1.5x + 9 = 0.9x + 12 Reorder the terms: 9 + 1.5x = 0.9x + 12 Reorder the terms: 9 + 1.5x = 12 + 0.9x Solving 9 + 1.5x = 12 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 9 + 1.5x + -0.9x = 12 + 0.9x + -0.9x Combine like terms: 1.5x + -0.9x = 0.6x 9 + 0.6x = 12 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 9 + 0.6x = 12 + 0.0 9 + 0.6x = 12 Add '-9' to each side of the equation. 9 + -9 + 0.6x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 0.6x = 12 + -9 0.6x = 12 + -9 Combine like terms: 12 + -9 = 3 0.6x = 3 Divide each side by '0.6'. x = 5 Simplifying x = 5
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