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Simplifying 3(x + 27) = 4.5x Reorder the terms: 3(27 + x) = 4.5x (27 * 3 + x * 3) = 4.5x (81 + 3x) = 4.5x Solving 81 + 3x = 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 81 + 3x + -4.5x = 4.5x + -4.5x Combine like terms: 3x + -4.5x = -1.5x 81 + -1.5x = 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 81 + -1.5x = 0.0 Add '-81' to each side of the equation. 81 + -81 + -1.5x = 0.0 + -81 Combine like terms: 81 + -81 = 0 0 + -1.5x = 0.0 + -81 -1.5x = 0.0 + -81 Combine like terms: 0.0 + -81 = -81 -1.5x = -81 Divide each side by '-1.5'. x = 54 Simplifying x = 54
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