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Simplifying 4x + 4.5 = 5x + -4.5 Reorder the terms: 4.5 + 4x = 5x + -4.5 Reorder the terms: 4.5 + 4x = -4.5 + 5x Solving 4.5 + 4x = -4.5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4.5 + 4x + -5x = -4.5 + 5x + -5x Combine like terms: 4x + -5x = -1x 4.5 + -1x = -4.5 + 5x + -5x Combine like terms: 5x + -5x = 0 4.5 + -1x = -4.5 + 0 4.5 + -1x = -4.5 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -1x = -4.5 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -1x = -4.5 + -4.5 -1x = -4.5 + -4.5 Combine like terms: -4.5 + -4.5 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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