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Simplifying 4.5x + -11.5 = 8.5x + 3.5 Reorder the terms: -11.5 + 4.5x = 8.5x + 3.5 Reorder the terms: -11.5 + 4.5x = 3.5 + 8.5x Solving -11.5 + 4.5x = 3.5 + 8.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.5x' to each side of the equation. -11.5 + 4.5x + -8.5x = 3.5 + 8.5x + -8.5x Combine like terms: 4.5x + -8.5x = -4x -11.5 + -4x = 3.5 + 8.5x + -8.5x Combine like terms: 8.5x + -8.5x = 0.0 -11.5 + -4x = 3.5 + 0.0 -11.5 + -4x = 3.5 Add '11.5' to each side of the equation. -11.5 + 11.5 + -4x = 3.5 + 11.5 Combine like terms: -11.5 + 11.5 = 0.0 0.0 + -4x = 3.5 + 11.5 -4x = 3.5 + 11.5 Combine like terms: 3.5 + 11.5 = 15 -4x = 15 Divide each side by '-4'. x = -3.75 Simplifying x = -3.75
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