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Simplifying -1.5x + 36 = 4.5x + 180 Reorder the terms: 36 + -1.5x = 4.5x + 180 Reorder the terms: 36 + -1.5x = 180 + 4.5x Solving 36 + -1.5x = 180 + 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. 36 + -1.5x + -4.5x = 180 + 4.5x + -4.5x Combine like terms: -1.5x + -4.5x = -6x 36 + -6x = 180 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 36 + -6x = 180 + 0.0 36 + -6x = 180 Add '-36' to each side of the equation. 36 + -36 + -6x = 180 + -36 Combine like terms: 36 + -36 = 0 0 + -6x = 180 + -36 -6x = 180 + -36 Combine like terms: 180 + -36 = 144 -6x = 144 Divide each side by '-6'. x = -24 Simplifying x = -24
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