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Simplifying -4.5x + 9 = 9x + 36 Reorder the terms: 9 + -4.5x = 9x + 36 Reorder the terms: 9 + -4.5x = 36 + 9x Solving 9 + -4.5x = 36 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 9 + -4.5x + -9x = 36 + 9x + -9x Combine like terms: -4.5x + -9x = -13.5x 9 + -13.5x = 36 + 9x + -9x Combine like terms: 9x + -9x = 0 9 + -13.5x = 36 + 0 9 + -13.5x = 36 Add '-9' to each side of the equation. 9 + -9 + -13.5x = 36 + -9 Combine like terms: 9 + -9 = 0 0 + -13.5x = 36 + -9 -13.5x = 36 + -9 Combine like terms: 36 + -9 = 27 -13.5x = 27 Divide each side by '-13.5'. x = -2 Simplifying x = -2
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