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Simplifying -4.5x + 13 = 9x + -12 Reorder the terms: 13 + -4.5x = 9x + -12 Reorder the terms: 13 + -4.5x = -12 + 9x Solving 13 + -4.5x = -12 + 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. 13 + -4.5x + -9x = -12 + 9x + -9x Combine like terms: -4.5x + -9x = -13.5x 13 + -13.5x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 13 + -13.5x = -12 + 0 13 + -13.5x = -12 Add '-13' to each side of the equation. 13 + -13 + -13.5x = -12 + -13 Combine like terms: 13 + -13 = 0 0 + -13.5x = -12 + -13 -13.5x = -12 + -13 Combine like terms: -12 + -13 = -25 -13.5x = -25 Divide each side by '-13.5'. x = 1.851851852 Simplifying x = 1.851851852
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