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Simplifying (x + 6) * 1.5 = 2x Reorder the terms: (6 + x) * 1.5 = 2x Reorder the terms for easier multiplication: 1.5(6 + x) = 2x (6 * 1.5 + x * 1.5) = 2x (9 + 1.5x) = 2x Solving 9 + 1.5x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + 1.5x + -2x = 2x + -2x Combine like terms: 1.5x + -2x = -0.5x 9 + -0.5x = 2x + -2x Combine like terms: 2x + -2x = 0 9 + -0.5x = 0 Add '-9' to each side of the equation. 9 + -9 + -0.5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -0.5x = 0 + -9 -0.5x = 0 + -9 Combine like terms: 0 + -9 = -9 -0.5x = -9 Divide each side by '-0.5'. x = 18 Simplifying x = 18
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